Details

analyze93.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample37.0ms (1.3%)

Algorithm

1×

intervals

Results

15.0ms	71×	body	1024	valid
7.0ms	123×	body	128	valid
5.0ms	37×	body	512	valid
4.0ms	10×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

Merged error: 32.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.4b	(log.f64 (+.f64 N 1))
3.0b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`log-prod_binary64_164`
8×	`add-sqr-sqrt_binary64_100` `pow1_binary64_139`
6×	`add-cube-cbrt_binary64_113` `log-pow_binary64_167`
4×	`distribute-lft-out--_binary64_30` `associate--l+_binary64_15` `log-div_binary64_165` `cancel-sign-sub-inv_binary64_44`
3×	`associate--r+_binary64_14` `add-exp-log_binary64_116`
2×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `associate--l-_binary64_16` `flip3-+_binary64_81`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `rem-log-exp_binary64_119` `difference-of-squares_binary64_47` `sub-neg_binary64_71`

Counts

2 → 44

Calls

2 calls:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

series41.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
13.0ms	(log.f64 (+.f64 N 1))

simplify92.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4935	668
1	4935	668

prune55.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Merged error: 0.0b

Counts

51 → 3

Compiler

Compiled 673 to 438 computations (34.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
0.1b	(/.f64 1/3 (pow.f64 N 3))
0.4b	(/.f64 1/2 (*.f64 N N))
11.0b	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))

rewrite84.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64_78`
45×	`times-frac_binary64_84`
37×	`add-sqr-sqrt_binary64_100`
33×	`add-cube-cbrt_binary64_113`
14×	`add-exp-log_binary64_116`
13×	`associate-/r*_binary64_22`
12×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
11×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117`
7×	`cancel-sign-sub-inv_binary64_44`
6×	`associate-/l*_binary64_23`
5×	`div-exp_binary64_129` `div-inv_binary64_75` `distribute-lft-out_binary64_29`
4×	`cube-mult_binary64_108` `sqr-pow_binary64_50` `unpow3_binary64_144` `pow1_binary64_139`
3×	`cbrt-undiv_binary64_112` `frac-sub_binary64_87` `distribute-lft-out--_binary64_30`
2×	`frac-add_binary64_86` `flip-+_binary64_52` `diff-log_binary64_170` `frac-2neg_binary64_89` `difference-of-squares_binary64_47` `clear-num_binary64_77` `sum-log_binary64_169` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `associate--l+_binary64_15` `flip--_binary64_53` `sub-neg_binary64_71`

Counts

4 → 129

Calls

4 calls:

36.0ms	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))
28.0ms	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
5.0ms	(/.f64 1/3 (pow.f64 N 3))
4.0ms	(/.f64 1/2 (*.f64 N N))

series94.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N))
25.0ms	(/.f64 1/3 (pow.f64 N 3))
16.0ms	(/.f64 1/2 (*.f64 N N))
14.0ms	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N)))

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4952	2250
1	4952	2250

prune156.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	140	4	144

Merged error: 0.0b

Counts

144 → 4

Compiler

Compiled 2958 to 2049 computations (30.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.9b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

5.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series50.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(/.f64 (+.f64 N 1) N)
23.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5161	940

prune50.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

Compiler

Compiled 825 to 559 computations (32.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
0.0b	(sqrt.f64 (/.f64 (+.f64 N 1) N))
2.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
2.9b	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`sqrt-prod_binary64_94`
62×	`*-un-lft-identity_binary64_78`
50×	`times-frac_binary64_84`
44×	`add-sqr-sqrt_binary64_100`
38×	`add-cube-cbrt_binary64_113` `log-prod_binary64_164`
12×	`distribute-lft-out_binary64_29`
10×	`pow1_binary64_139`
6×	`add-exp-log_binary64_116` `log-pow_binary64_167`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `div-inv_binary64_75` `sqrt-div_binary64_95` `pow1/2_binary64_158`
2×	`rem-log-exp_binary64_119` `log-div_binary64_165`

Counts

4 → 118

Calls

4 calls:

7.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
6.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
5.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
5.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))

series96.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
29.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
18.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))
18.0ms	(sqrt.f64 (/.f64 (+.f64 N 1) N))

simplify76.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4928	2350
1	4928	2350

prune152.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0.0b

Counts

134 → 4

Compiler

Compiled 2826 to 2059 computations (27.1% saved)

regimes93.0ms (3.3%)

Compiler: Compiled 650 to 525 computations (19.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	47
1	50	47

end0.0ms (0%)

sample1.5s (51.3%)

Algorithm

1×

intervals

Results

449.0ms	2085×	body	1024	valid
228.0ms	4198×	body	128	valid
132.0ms	940×	body	512	valid
104.0ms	285×	body	2048	valid
44.0ms	492×	body	256	valid

Compiler

Compiled 337 to 272 computations (19.3% saved)

Details

analyze93.0ms (3.3%)

sample37.0ms (1.3%)

simplify10.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series41.0ms (1.4%)

simplify92.0ms (3.2%)

prune55.0ms (1.9%)

localize9.0ms (0.3%)

rewrite84.0ms (2.9%)

series94.0ms (3.3%)

simplify50.0ms (1.8%)

prune156.0ms (5.5%)

localize4.0ms (0.2%)

rewrite13.0ms (0.5%)

series50.0ms (1.8%)

simplify58.0ms (2.1%)

prune50.0ms (1.8%)

localize7.0ms (0.2%)

rewrite34.0ms (1.2%)

series96.0ms (3.4%)

simplify76.0ms (2.7%)

prune152.0ms (5.3%)

regimes93.0ms (3.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (51.3%)

Profiling