Details

analyze1.3s (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample192.0ms (0.1%)

Algorithm

1×

intervals

Results

43.0ms	74×	body	2048	valid
41.0ms	82×	body	1024	valid
31.0ms	36×	body	1024	nan
15.0ms	84×	body	128	overflowed
13.0ms	35×	body	512	valid
11.0ms	25×	body	512	nan
7.0ms	7×	body	1024	invalid
4.0ms	48×	body	128	valid
4.0ms	17×	body	256	valid
3.0ms	12×	body	256	nan
2.0ms	4×	body	512	invalid
2.0ms	7×	body	256	invalid
1.0ms	21×	body	128	nan
1.0ms	6×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify146.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	19

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

30.2b

Counts

2 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
0.0b	(pow.f64 x (/.f64 1 n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b	(pow.f64 x (/.f64 1 n))
2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite28.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_100`
30×	`*-un-lft-identity_binary64_78`
26×	`pow-unpow_binary64_155`
21×	`add-cube-cbrt_binary64_113`
20×	`unpow-prod-down_binary64_157`
18×	`times-frac_binary64_84`
9×	`sqr-pow_binary64_50` `difference-of-squares_binary64_47`
7×	`cancel-sign-sub-inv_binary64_44`
5×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `div-inv_binary64_75` `pow-pow_binary64_150` `distribute-lft-out_binary64_29`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `sub-neg_binary64_71`

Counts

3 → 85

Calls

6 calls:

11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))
0.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series448.0ms (0.2%)

Counts

3 → 38

Calls

3 calls:

260.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
119.0ms	(pow.f64 x (/.f64 1 n))
68.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

Compiler

Compiled 1492 to 1222 computations (18.1% saved)

simplify78.0ms (0%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4960	2665
1	4960	2665

prune596.0ms (0.3%)

Pruning

59 alts after pruning (58 fresh and 1 done)

	Pruned	Kept	Total
New	65	58	123
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	65	59	124

Error

0.5b

Counts

124 → 59

Compiler

Compiled 3409 to 2456 computations (28% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

2.8b	(log.f64 (+.f64 x 1))
2.6b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
0.1b	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
0.1b	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
2.6b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
2.8b	(log.f64 (+.f64 x 1))

rewrite28.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_78`
30×	`add-sqr-sqrt_binary64_100`
25×	`pow1_binary64_139`
24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
20×	`add-cube-cbrt_binary64_113` `distribute-lft-out--_binary64_30`
11×	`log-prod_binary64_164`
8×	`associate-/l*_binary64_23`
6×	`add-exp-log_binary64_116`
5×	`add-cbrt-cube_binary64_114` `difference-of-squares_binary64_47`
4×	`associate--l+_binary64_15` `log-div_binary64_165` `cancel-sign-sub-inv_binary64_44`
3×	`add-log-exp_binary64_117` `associate--r+_binary64_14` `associate-/r*_binary64_22`
2×	`flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `distribute-lft-out_binary64_29` `associate-/l/_binary64_25` `associate--l-_binary64_16` `flip3-+_binary64_81`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `rem-log-exp_binary64_119` `clear-num_binary64_77` `div-sub_binary64_83` `sub-neg_binary64_71`

Counts

3 → 94

Calls

6 calls:

10.0ms	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
8.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
3.0ms	(log.f64 (+.f64 x 1))
0.0ms	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
0.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

series291.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

202.0ms	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
59.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
30.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 612 to 529 computations (13.6% saved)

simplify115.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4896	2298
1	4896	2298

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

4.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))
0.0b	(pow.f64 x (/.f64 1 n))
0.0b	(pow.f64 x (/.f64 1 n))
4.5b	(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_100`
17×	`*-un-lft-identity_binary64_78`
13×	`pow-unpow_binary64_155`
12×	`add-cube-cbrt_binary64_113`
9×	`times-frac_binary64_84`
8×	`unpow-prod-down_binary64_157`
7×	`cancel-sign-sub-inv_binary64_44`
6×	`difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117` `sqr-pow_binary64_50`
3×	`add-exp-log_binary64_116` `pow1_binary64_139`
2×	`add-cbrt-cube_binary64_114`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `div-inv_binary64_75` `pow-pow_binary64_150` `flip--_binary64_53` `sub-neg_binary64_71`

Counts

2 → 52

Calls

4 calls:

6.0ms	(-.f64 1 (pow.f64 x (/.f64 1 n)))
4.0ms	(pow.f64 x (/.f64 1 n))
0.0ms	(pow.f64 x (/.f64 1 n))
0.0ms	(-.f64 1 (pow.f64 x (/.f64 1 n)))

series264.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

152.0ms	(-.f64 1 (pow.f64 x (/.f64 1 n)))
112.0ms	(pow.f64 x (/.f64 1 n))

Compiler

Compiled 442 to 392 computations (11.3% saved)

simplify109.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4893	1132
1	4893	1132

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (pow.f64 x (/.f64 1 n)))
0.0b	(pow.f64 x (/.f64 1 n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0b	(pow.f64 x (/.f64 1 n))
2.2b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (pow.f64 x (/.f64 1 n)))

rewrite29.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_100`
35×	`pow-unpow_binary64_155`
31×	`*-un-lft-identity_binary64_78`
27×	`add-cube-cbrt_binary64_113` `times-frac_binary64_84`
16×	`unpow-prod-down_binary64_157`
9×	`sqrt-prod_binary64_94` `sqr-pow_binary64_50` `difference-of-squares_binary64_47`
7×	`cancel-sign-sub-inv_binary64_44`
5×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`add-cbrt-cube_binary64_114`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `div-inv_binary64_75` `pow-pow_binary64_150`
1×	`distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

3 → 92

Calls

6 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (pow.f64 x (/.f64 1 n)))
7.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
4.0ms	(pow.f64 x (/.f64 1 n))
0.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (pow.f64 x (/.f64 1 n)))

series451.0ms (0.2%)

Counts

3 → 38

Calls

3 calls:

262.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (pow.f64 x (/.f64 1 n)))
121.0ms	(pow.f64 x (/.f64 1 n))
69.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))

Compiler

Compiled 1508 to 1238 computations (17.9% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4957	2741
1	4957	2741

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

1.5b	(pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n)))
0.1b	(/.f64 1 (sqrt.f64 n))
0.1b	(/.f64 1 (sqrt.f64 n))
0.0b	(pow.f64 x (/.f64 1 n))
0.1b	(/.f64 1 (sqrt.f64 n))
0.1b	(/.f64 1 (sqrt.f64 n))
1.5b	(pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n)))
1.6b	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n))) (/.f64 1 (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))

rewrite45.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64_100`
54×	`times-frac_binary64_84` `*-un-lft-identity_binary64_78`
50×	`add-cube-cbrt_binary64_113`
33×	`sqrt-prod_binary64_94`
24×	`unpow-prod-down_binary64_157`
22×	`pow-unpow_binary64_155`
15×	`difference-of-squares_binary64_47`
13×	`sqr-pow_binary64_50` `add-exp-log_binary64_116`
12×	`associate-/r*_binary64_22`
9×	`pow1_binary64_139`
8×	`add-cbrt-cube_binary64_114`
7×	`cancel-sign-sub-inv_binary64_44`
6×	`add-log-exp_binary64_117` `pow-flip_binary64_152` `associate-/l*_binary64_23`
4×	`div-exp_binary64_129`
3×	`div-inv_binary64_75`
2×	`sqrt-pow1_binary64_96` `cbrt-undiv_binary64_112` `inv-pow_binary64_163` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77` `pow1/2_binary64_158`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `pow-pow_binary64_150` `flip--_binary64_53` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

4 → 161

Calls

8 calls:

14.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n))) (/.f64 1 (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
7.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n)))
4.0ms	(/.f64 1 (sqrt.f64 n))
4.0ms	(/.f64 1 (sqrt.f64 n))
0.0ms	(pow.f64 x (/.f64 1 n))

series313.0ms (0.2%)

Counts

4 → 22

Calls

4 calls:

203.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n))) (/.f64 1 (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
79.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 n)))
16.0ms	(/.f64 1 (sqrt.f64 n))
14.0ms	(/.f64 1 (sqrt.f64 n))

Compiler

Compiled 1175 to 983 computations (16.3% saved)

simplify91.0ms (0%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	3269
1	4976	3269

localize25.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))
0.0b	(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b	(.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))
0.5b	(pow.f64 (log.f64 x) 2)
0.9b	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
3.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
5.0b	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))

rewrite60.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_78`
20×	`add-log-exp_binary64_117`
18×	`add-exp-log_binary64_116`
16×	`add-sqr-sqrt_binary64_100`
13×	`unpow-prod-down_binary64_157`
11×	`add-cube-cbrt_binary64_113`
9×	`add-cbrt-cube_binary64_114` `times-frac_binary64_84` `associate-/l*_binary64_23`
8×	`pow1_binary64_139`
7×	`sum-log_binary64_169`
6×	`div-exp_binary64_129` `distribute-lft-out_binary64_29`
5×	`cancel-sign-sub-inv_binary64_44`
4×	`diff-log_binary64_170` `sqr-pow_binary64_50`
3×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `unpow2_binary64_143` `pow-unpow_binary64_155` `difference-of-squares_binary64_47` `log-pow_binary64_167`
2×	`cbrt-undiv_binary64_112` `associate-*r/_binary64_20`
1×	`+-commutative_binary64_8` `frac-add_binary64_86` `cbrt-unprod_binary64_111` `cube-div_binary64_107` `flip-+_binary64_52` `flip3--_binary64_82` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate--r+_binary64_14` `pow-pow_binary64_150` `flip--_binary64_53` `associate-/r*_binary64_22` `clear-num_binary64_77` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

4 → 94

Calls

8 calls:

27.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
11.0ms	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))
7.0ms	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
2.0ms	(pow.f64 (log.f64 x) 2)
0.0ms	(.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n)))

series1.4s (0.7%)

Counts

4 → 35

Calls

4 calls:

594.0ms	(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))
495.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))))
191.0ms	(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))
76.0ms	(pow.f64 (log.f64 x) 2)

Compiler

Compiled 2369 to 1893 computations (20.1% saved)

simplify93.0ms (0%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4969	4153
1	4969	4153

prune11.2s (5.9%)

Pruning

254 alts after pruning (248 fresh and 6 done)

	Pruned	Kept	Total
New	444	204	648
Fresh	9	44	53
Picked	0	0	0
Done	0	6	6
Total	453	254	707

Error

0.1b

Counts

707 → 254

Compiler

Compiled 17045 to 11390 computations (33.2% saved)

localize6.0ms (0%)

Local error

Found 6 expressions with local error:

2.5b	(log.f64 (/.f64 (+.f64 x 1) x))
0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0b	(/.f64 (+.f64 x 1) x)
0.0b	(/.f64 (+.f64 x 1) x)
0.1b	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
2.5b	(log.f64 (/.f64 (+.f64 x 1) x))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_78`
36×	`times-frac_binary64_84`
29×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
16×	`log-prod_binary64_164`
10×	`add-exp-log_binary64_116`
8×	`associate-/l*_binary64_23` `pow1_binary64_139`
7×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
6×	`associate-/r*_binary64_22`
5×	`log-pow_binary64_167`
3×	`add-log-exp_binary64_117` `div-exp_binary64_129` `div-inv_binary64_75`
2×	`cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `rem-log-exp_binary64_119` `log-div_binary64_165` `clear-num_binary64_77` `associate-/l/_binary64_25`
1×	`flip-+_binary64_52` `div-sub_binary64_83` `flip3-+_binary64_81`

Counts

3 → 92

Calls

6 calls:

7.0ms	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
6.0ms	(/.f64 (+.f64 x 1) x)
5.0ms	(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms	(/.f64 (+.f64 x 1) x)
0.0ms	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)

series259.0ms (0.1%)

Counts

3 → 33

Calls

3 calls:

172.0ms	(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
51.0ms	(log.f64 (/.f64 (+.f64 x 1) x))
36.0ms	(/.f64 (+.f64 x 1) x)

Compiler

Compiled 502 to 444 computations (11.6% saved)

simplify78.0ms (0%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4997	2014
1	4997	2014

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

2.8b	(log.f64 (+.f64 x 1))
0.9b	(exp.f64 (log.f64 (log.f64 (+.f64 x 1))))
0.1b	(/.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x)) n)
0.0b	(log.f64 (log.f64 (+.f64 x 1)))
0.1b	(/.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x)) n)
0.9b	(exp.f64 (log.f64 (log.f64 (+.f64 x 1))))
2.8b	(log.f64 (+.f64 x 1))
31.2b	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x))

rewrite32.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_100`
38×	`*-un-lft-identity_binary64_78`
21×	`add-cube-cbrt_binary64_113` `times-frac_binary64_84`
16×	`log-prod_binary64_164`
13×	`pow1_binary64_139`
10×	`distribute-lft-out--_binary64_30` `difference-of-squares_binary64_47`
9×	`exp-sum_binary64_124` `log-pow_binary64_167`
7×	`associate-/l*_binary64_23` `add-exp-log_binary64_116`
6×	`add-cbrt-cube_binary64_114`
5×	`add-log-exp_binary64_117`
4×	`exp-prod_binary64_130` `cancel-sign-sub-inv_binary64_44`
3×	`associate--r+_binary64_14` `associate-/r*_binary64_22`
2×	`flip3--_binary64_82` `flip--_binary64_53` `log-div_binary64_165` `associate-/l/_binary64_25`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `diff-log_binary64_170` `rem-exp-log_binary64_118` `frac-2neg_binary64_89` `div-inv_binary64_75` `rem-log-exp_binary64_119` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `div-sub_binary64_83` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

4 → 99

Calls

8 calls:

10.0ms	(/.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x)) n)
7.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x))
3.0ms	(log.f64 (+.f64 x 1))
2.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 x 1))))
0.0ms	(log.f64 (log.f64 (+.f64 x 1)))

series516.0ms (0.3%)

Counts

4 → 39

Calls

4 calls:

330.0ms	(/.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x)) n)
92.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x 1)))) (log.f64 x))
65.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 x 1))))
28.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1182 to 954 computations (19.3% saved)

simplify100.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4826	2313
1	4826	2313

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
0.0b	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
0.0b	(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0b	(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))
0.0b	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
0.0b	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
3.7b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))))

rewrite47.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64_100`
57×	`unpow-prod-down_binary64_157`
34×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
28×	`sqrt-prod_binary64_94`
26×	`pow-unpow_binary64_155`
18×	`times-frac_binary64_84` `add-exp-log_binary64_116`
16×	`unswap-sqr_binary64_46`
15×	`sqr-pow_binary64_50`
12×	`swap-sqr_binary64_45`
10×	`associate-l_binary64_19` `associate-r_binary64_18`
9×	`prod-exp_binary64_127`
8×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow-pow_binary64_150`
3×	`difference-of-squares_binary64_47`
2×	`sqrt-pow2_binary64_97` `sqrt-pow1_binary64_96` `div-inv_binary64_75` `pow1/2_binary64_158`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `pow-sqr_binary64_51` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 151

Calls

8 calls:

10.0ms	(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))
8.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))))
4.0ms	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
4.0ms	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
0.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))

series595.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

295.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))))
132.0ms	(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))
85.0ms	(pow.f64 (sqrt.f64 x) (/.f64 1 n))
82.0ms	(pow.f64 (sqrt.f64 x) (/.f64 1 n))

Compiler

Compiled 1983 to 1524 computations (23.1% saved)

simplify84.0ms (0%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4937	3788
1	4937	3788

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

1.5b	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
0.1b	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
0.1b	(/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))
0.0b	(pow.f64 x (/.f64 1 n))
0.1b	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
0.1b	(/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))
1.5b	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
1.6b	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))

rewrite57.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64_100`
66×	`times-frac_binary64_84`
60×	`sqrt-prod_binary64_94`
59×	`*-un-lft-identity_binary64_78`
55×	`add-cube-cbrt_binary64_113`
42×	`cbrt-prod_binary64_109`
24×	`unpow-prod-down_binary64_157`
15×	`difference-of-squares_binary64_47`
13×	`sqr-pow_binary64_50`
12×	`associate-/r*_binary64_22` `add-exp-log_binary64_116`
10×	`associate-/l*_binary64_23` `pow-unpow_binary64_155`
8×	`add-cbrt-cube_binary64_114`
7×	`cancel-sign-sub-inv_binary64_44`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `pow-pow_binary64_150` `flip--_binary64_53` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

4 → 167

Calls

8 calls:

17.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
7.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
6.0ms	(/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
0.0ms	(pow.f64 x (/.f64 1 n))

series320.0ms (0.2%)

Counts

4 → 22

Calls

4 calls:

200.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
85.0ms	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
18.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
16.0ms	(/.f64 (cbrt.f64 (sqrt.f64 1)) (sqrt.f64 n))

Compiler

Compiled 1239 to 1047 computations (15.5% saved)

simplify151.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4901	4582
1	4901	4582

prune20.8s (11%)

Pruning

407 alts after pruning (396 fresh and 11 done)

	Pruned	Kept	Total
New	469	182	651
Fresh	29	214	243
Picked	0	0	0
Done	0	11	11
Total	498	407	905

Error

0.1b

Counts

905 → 407

Compiler

Compiled 20627 to 14654 computations (29% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

2.5b	(log.f64 (/.f64 x (+.f64 x 1)))
0.1b	(/.f64 (log.f64 (/.f64 x (+.f64 x 1))) (neg.f64 n))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
0.1b	(/.f64 (log.f64 (/.f64 x (+.f64 x 1))) (neg.f64 n))
2.5b	(log.f64 (/.f64 x (+.f64 x 1)))

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`times-frac_binary64_84`
60×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
18×	`log-prod_binary64_164`
15×	`distribute-lft-neg-in_binary64_35` `distribute-rgt-neg-in_binary64_36` `pow1_binary64_139`
14×	`associate-/r*_binary64_22`
12×	`log-pow_binary64_167`
10×	`add-exp-log_binary64_116`
7×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
5×	`neg-mul-1_binary64_74`
4×	`associate-/r/_binary64_24`
3×	`add-log-exp_binary64_117` `div-exp_binary64_129` `div-inv_binary64_75`
2×	`cbrt-undiv_binary64_112` `flip-+_binary64_52` `frac-2neg_binary64_89` `rem-log-exp_binary64_119` `log-div_binary64_165` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`div-sub_binary64_83`

Counts

3 → 129

Calls

6 calls:

9.0ms	(/.f64 (log.f64 (/.f64 x (+.f64 x 1))) (neg.f64 n))
6.0ms	(/.f64 x (+.f64 x 1))
5.0ms	(log.f64 (/.f64 x (+.f64 x 1)))
0.0ms	(/.f64 x (+.f64 x 1))
0.0ms	(/.f64 (log.f64 (/.f64 x (+.f64 x 1))) (neg.f64 n))

series271.0ms (0.1%)

Counts

3 → 39

Calls

3 calls:

194.0ms	(/.f64 (log.f64 (/.f64 x (+.f64 x 1))) (neg.f64 n))
47.0ms	(log.f64 (/.f64 x (+.f64 x 1)))
29.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 606 to 536 computations (11.6% saved)

simplify82.0ms (0%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5278	3111

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (*.f64 x n))
0.5b	(/.f64 1 (*.f64 x n))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_116`
6×	`add-cbrt-cube_binary64_114`
4×	`div-exp_binary64_129` `pow1_binary64_139`
3×	`add-sqr-sqrt_binary64_100` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `times-frac_binary64_84` `associate-/l_binary64_23` `-un-lft-identity_binary64_78`
2×	`cbrt-undiv_binary64_112` `1-exp_binary64_122` `pow-flip_binary64_152` `rec-exp_binary64_128`
1×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `inv-pow_binary64_163` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r*_binary64_22` `pow-prod-down_binary64_149` `clear-num_binary64_77`

Counts

1 → 28

Calls

2 calls:

4.0ms	(/.f64 1 (*.f64 x n))
0.0ms	(/.f64 1 (*.f64 x n))

series53.0ms (0%)

Counts

1 → 6

Calls

1 calls:

53.0ms

(/.f64 1 (*.f64 x n))

Compiler

Compiled 60 to 60 computations (0% saved)

simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4887	258
1	4887	258

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

2.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (exp.f64 (/.f64 (log.f64 x) n)))
0.3b	(/.f64 (log.f64 x) n)
0.0b	(exp.f64 (/.f64 (log.f64 x) n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0b	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
0.0b	(exp.f64 (/.f64 (log.f64 x) n))
0.3b	(/.f64 (log.f64 x) n)
2.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (exp.f64 (/.f64 (log.f64 x) n)))

rewrite35.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_84`
41×	`add-sqr-sqrt_binary64_100`
40×	`*-un-lft-identity_binary64_78`
36×	`add-cube-cbrt_binary64_113`
22×	`pow-unpow_binary64_155`
16×	`exp-prod_binary64_130`
12×	`pow1_binary64_139`
9×	`sqrt-prod_binary64_94`
7×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `log-pow_binary64_167`
6×	`add-cbrt-cube_binary64_114`
5×	`unpow-prod-down_binary64_157`
4×	`div-inv_binary64_75` `associate-/l*_binary64_23`
3×	`associate-/r*_binary64_22` `difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44`
2×	`sqr-pow_binary64_50`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `rem-exp-log_binary64_118` `frac-2neg_binary64_89` `exp-to-pow_binary64_140` `pow-pow_binary64_150` `flip--_binary64_53` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

4 → 111

Calls

8 calls:

10.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (exp.f64 (/.f64 (log.f64 x) n)))
7.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))
4.0ms	(/.f64 (log.f64 x) n)
4.0ms	(exp.f64 (/.f64 (log.f64 x) n))
0.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))

series585.0ms (0.3%)

Counts

4 → 44

Calls

4 calls:

263.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n)) (exp.f64 (/.f64 (log.f64 x) n)))
138.0ms	(/.f64 (log.f64 x) n)
115.0ms	(exp.f64 (/.f64 (log.f64 x) n))
69.0ms	(pow.f64 (+.f64 x 1) (/.f64 (sqrt.f64 1) n))

Compiler

Compiled 1694 to 1400 computations (17.4% saved)

simplify61.0ms (0%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5126	2848

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (log.f64 (+.f64 x 1)) n)
0.2b	(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n)
0.1b	(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))
0.0b	(-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n))
1.6b	(+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n)))
2.6b	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
2.8b	(log.f64 (+.f64 x 1))
2.8b	(log.f64 (+.f64 x 1))

rewrite190.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

163×	`times-frac_binary64_84`
142×	`add-sqr-sqrt_binary64_100`
109×	`cancel-sign-sub-inv_binary64_44`
98×	`*-un-lft-identity_binary64_78`
81×	`associate-+r+_binary64_10`
72×	`add-cube-cbrt_binary64_113`
70×	`unpow-prod-down_binary64_157`
64×	`associate--l+_binary64_15`
32×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28`
30×	`pow1_binary64_139`
26×	`log-pow_binary64_167`
25×	`difference-of-squares_binary64_47`
19×	`unpow2_binary64_143` `sqr-pow_binary64_50`
16×	`distribute-lft-out--_binary64_30`
13×	`frac-add_binary64_86`
12×	`frac-sub_binary64_87`
11×	`add-log-exp_binary64_117`
8×	`log-prod_binary64_164`
6×	`div-inv_binary64_75` `add-exp-log_binary64_116` `log-div_binary64_165` `sub-div_binary64_85`
5×	`associate-*r/_binary64_20`
4×	`add-cbrt-cube_binary64_114` `flip-+_binary64_52` `flip3--_binary64_82` `frac-times_binary64_88` `flip--_binary64_53` `sub-neg_binary64_71` `flip3-+_binary64_81`
3×	`distribute-lft-out_binary64_29`
2×	`associate-+l-_binary64_13` `diff-log_binary64_170` `associate-*l/_binary64_21` `rem-log-exp_binary64_119` `div-sub_binary64_83` `sum-log_binary64_169`
1×	`+-commutative_binary64_8` `associate-+r-_binary64_12` `distribute-rgt-out--_binary64_32`

Counts

4 → 226

Calls

8 calls:

84.0ms	(+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n)))
53.0ms	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
3.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (+.f64 x 1))
0.0ms	(-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n))

series994.0ms (0.5%)

Counts

4 → 34

Calls

4 calls:

656.0ms	(+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (-.f64 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (/.f64 (log.f64 x) n)))
283.0ms	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n))
36.0ms	(log.f64 (+.f64 x 1))
19.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1736 to 1350 computations (22.2% saved)

simplify117.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5085	8700

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (cbrt.f64 1) (sqrt.f64 n))
0.0b	(pow.f64 x (/.f64 1 n))
0.0b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n))) 3))
0.0b	(pow.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n))) 3)
0.1b	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
0.1b	(/.f64 (cbrt.f64 1) (sqrt.f64 n))
1.5b	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
1.6b	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))

rewrite56.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-sqr-sqrt_binary64_100`
48×	`times-frac_binary64_84`
46×	`*-un-lft-identity_binary64_78`
42×	`add-cube-cbrt_binary64_113`
30×	`sqrt-prod_binary64_94`
24×	`unpow-prod-down_binary64_157`
21×	`cbrt-prod_binary64_109`
15×	`difference-of-squares_binary64_47`
13×	`sqr-pow_binary64_50`
12×	`associate-/r*_binary64_22` `add-exp-log_binary64_116`
10×	`pow-unpow_binary64_155`
8×	`add-cbrt-cube_binary64_114`
7×	`associate-/l*_binary64_23` `cancel-sign-sub-inv_binary64_44`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `pow-pow_binary64_150` `flip--_binary64_53` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

4 → 146

Calls

8 calls:

14.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
8.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
5.0ms	(/.f64 (cbrt.f64 1) (sqrt.f64 n))
0.0ms	(pow.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n))) 3)

series327.0ms (0.2%)

Counts

4 → 22

Calls

4 calls:

208.0ms	(-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))) (/.f64 (cbrt.f64 1) (sqrt.f64 n))) (pow.f64 x (/.f64 1 n)))
87.0ms	(pow.f64 (+.f64 x 1) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n)))
16.0ms	(/.f64 (cbrt.f64 1) (sqrt.f64 n))
16.0ms	(/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 n))

Compiler

Compiled 1339 to 1147 computations (14.3% saved)

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4973	4179
1	4973	4179

prune42.7s (22.6%)

Pruning

668 alts after pruning (653 fresh and 15 done)

	Pruned	Kept	Total
New	488	297	785
Fresh	35	356	391
Picked	0	0	0
Done	1	15	16
Total	524	668	1192

Error

0.0b

Counts

1192 → 668

Compiler

Compiled 16276 to 10050 computations (38.3% saved)

simplify840.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5116	55096

regimes28.6s (15.1%)

Compiler: Compiled 128346 to 97470 computations (24.1% saved)

bsearch284.0ms (0.2%)

Steps

Iters	Range		Point
9	5952.334340667254	9488712302.12846	6200.151439110085
7	2.100930749977862e-219	1.4867794972406523e-217	6.474343009552161e-219
5	2.4718648926765486e-256	6.234722517823159e-256	6.125296741000063e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.7s (8.8%)

Compiler: Compiled 66548 to 51375 computations (22.8% saved)

bsearch245.0ms (0.1%)

Steps

Iters	Range		Point
9	5952.334340667254	9488712302.12846	55710.815656793966
7	1.2525134376322793e-234	8.763119324855484e-233	2.355612421433378e-234
5	2.4718648926765486e-256	6.234722517823159e-256	4.413535741013168e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes1.3s (0.7%)

Compiler: Compiled 4974 to 4232 computations (14.9% saved)

bsearch238.0ms (0.1%)

Steps

Iters	Range		Point
9	5952.334340667254	9488712302.12846	14120.986815933458
7	1.2525134376322793e-234	8.763119324855484e-233	1.2769527741818282e-234
5	2.4718648926765486e-256	6.234722517823159e-256	6.125296741000063e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes448.0ms (0.2%)

Compiler: Compiled 970 to 920 computations (5.2% saved)

bsearch220.0ms (0.1%)

Steps

Iters	Range		Point
9	5952.334340667254	9488712302.12846	72319.45514749004
7	1.2525134376322793e-234	8.763119324855484e-233	3.8730661115786216e-234
5	2.4718648926765486e-256	6.234722517823159e-256	3.9758326337207906e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes377.0ms (0.2%)

Compiler: Compiled 810 to 776 computations (4.2% saved)

bsearch216.0ms (0.1%)

Steps

Iters	Range		Point
9	5952.334340667254	9488712302.12846	37207.1389730625
7	1.2525134376322793e-234	8.763119324855484e-233	1.2769527741818282e-234
5	2.4718648926765486e-256	6.234722517823159e-256	6.125296741000063e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes445.0ms (0.2%)

Compiler: Compiled 783 to 755 computations (3.6% saved)

bsearch2.3s (1.2%)

Steps

Iters	Range		Point
8	1.6808936381027625e+201	1.4853212089323063e+205	1.7122483517021883e+201
2	3302075.671590479	3727799.6728733187	3674584.1727129635
12	-2.734671426854328e-297	3.614258298532569e-266	3.7519879706411785e-274
10	-1.1513669049129536	-6.428175960368296e-12	-1.133112801713999
8	-2.17150254839325e+82	-8.199528250916726e+78	-5.8089339598072795e+79

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes364.0ms (0.2%)

Compiler: Compiled 567 to 551 computations (2.8% saved)

bsearch1.9s (1%)

Steps

Iters	Range		Point
8	1.6808936381027625e+201	1.4853212089323063e+205	1.7122483517021883e+201
2	3302075.671590479	3727799.6728733187	3674584.1727129635
12	-2.734671426854328e-297	3.614258298532569e-266	6.220672122015974e-279
10	-1.1513669049129536	-6.428175960368296e-12	-0.9935399880611809
8	-2.17150254839325e+82	-8.199528250916726e+78	-8.363436732087098e+78

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes330.0ms (0.2%)

Compiler: Compiled 519 to 512 computations (1.3% saved)

bsearch393.0ms (0.2%)

Steps

Iters	Range		Point
4	1.61981076037975e+239	2.4307537840429122e+239	1.918612347932492e+239
7	8.530578121382752e+97	9.18890353736207e+99	9.163121892369418e+98
8	1.7059059816306822e+84	4.8148485823743085e+86	4.775120733300497e+86
9	0.000950951158312683	5952.334340667254	0.9738104546333624
7	1.2525134376322793e-234	8.763119324855484e-233	1.2769527741818282e-234
5	2.4718648926765486e-256	6.234722517823159e-256	6.125296741000063e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes293.0ms (0.2%)

Compiler: Compiled 446 to 442 computations (0.9% saved)

bsearch382.0ms (0.2%)

Steps

Iters	Range		Point
4	1.61981076037975e+239	2.4307537840429122e+239	1.6795710778902984e+239
7	8.530578121382752e+97	9.18890353736207e+99	9.163121892369418e+98
8	1.7059059816306822e+84	4.8148485823743085e+86	4.1394751481195207e+86
9	0.000950951158312683	5952.334340667254	0.9738104546333624
7	1.2525134376322793e-234	8.763119324855484e-233	1.2769527741818282e-234
5	2.4718648926765486e-256	6.234722517823159e-256	4.8512388483055455e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes285.0ms (0.2%)

Compiler: Compiled 428 to 427 computations (0.2% saved)

bsearch385.0ms (0.2%)

Steps

Iters	Range		Point
4	1.61981076037975e+239	2.4307537840429122e+239	1.918612347932492e+239
7	8.530578121382752e+97	9.18890353736207e+99	1.9736513484211042e+98
8	1.7059059816306822e+84	4.8148485823743085e+86	6.93644340820418e+84
9	0.000950951158312683	5952.334340667254	0.6880940850035809
7	1.2525134376322793e-234	8.763119324855484e-233	1.2769527741818282e-234
5	2.4718648926765486e-256	6.234722517823159e-256	6.125296741000063e-256

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes185.0ms (0.1%)

Compiler: Compiled 350 to 346 computations (1.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

regimes61.0ms (0%)

Compiler: Compiled 26 to 44 computations (-69.2% saved)

bsearch2.4s (1.3%)

Steps

Iters	Range		Point
2	3302075.671590479	3727799.6728733187	3355291.1717508337
12	-2.734671426854328e-297	3.614258298532569e-266	2.408571874694983e-279
10	-1.1513669049129536	-6.428175960368296e-12	-1.133112801713999

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes35.0ms (0%)

Accuracy

Total 8.3b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 16 to 34 computations (-112.5% saved)

bsearch2.2s (1.2%)

Steps

Iters	Range		Point
7	2.1145276342503142e+30	6.761838272663262e+31	3.7061451431641825e+31
12	-2.734671426854328e-297	3.614258298532569e-266	3.953892042853126e-274

Compiler

Compiled 638 to 462 computations (27.6% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	316	896
1	316	896

end0.0ms (0%)

sample41.2s (21.8%)

Algorithm

1×

intervals

Results

1.5s	2696×	body	1024	valid
1.1s	1454×	body	1024	nan
1.0s	1740×	body	2048	valid
478.0ms	2543×	body	128	overflowed
454.0ms	1219×	body	512	valid
332.0ms	721×	body	512	nan
187.0ms	200×	body	1024	invalid
167.0ms	1737×	body	128	valid
140.0ms	608×	body	256	valid
107.0ms	212×	body	512	invalid
91.0ms	381×	body	256	nan
51.0ms	802×	body	128	nan
37.0ms	136×	body	256	invalid
34.0ms	262×	body	128	invalid
6.0ms	5×	body	2048	nan
1.0ms	1×	body	2048	invalid

Compiler

Compiled 33324 to 25234 computations (24.3% saved)

Pareto

0.8475732582821153