Details

analyze533.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5139	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify326.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (320.0ms)

Iter	Nodes	Cost
0	5786	12

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.3b	(*.f64 x (log.f64 y))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`log-prod_binary64_164`
11×	`add-sqr-sqrt_binary64_100`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate--l+_binary64_15`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `cancel-sign-sub-inv_binary64_44`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `log-pow_binary64_167` `*-commutative_binary64_9` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53`

Counts

2 → 45

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 651 to 216 computations (66.8% saved)

series340.0ms (7%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

210.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
119.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 486 to 340 computations (30% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5296	630

prune48.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Error

0.0b

Counts

67 → 5

Compiler

Compiled 822 to 231 computations (71.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 y))
0.0b	(-.f64 (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (.f64 x (log.f64 (sqrt.f64 y)))) z)
0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))

rewrite107.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`log-prod_binary64_164`
25×	`add-sqr-sqrt_binary64_100`
21×	`*-un-lft-identity_binary64_78`
19×	`add-cube-cbrt_binary64_113`
15×	`sqrt-prod_binary64_94`
14×	`pow1_binary64_139`
12×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-r_binary64_18`
9×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `log-pow_binary64_167`
8×	`add-cbrt-cube_binary64_114`
6×	`associate-l_binary64_19`
3×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `cancel-sign-sub-inv_binary64_44`
2×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `*-commutative_binary64_9` `diff-log_binary64_170`
1×	`sum-log_binary64_169` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `associate--l+_binary64_15` `rem-log-exp_binary64_119`

Counts

4 → 101

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (.f64 x (log.f64 (sqrt.f64 y)))) z)
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
2.0ms	(log.f64 (sqrt.f64 y))

Compiler

Compiled 2215 to 509 computations (77% saved)

series467.0ms (9.7%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

227.0ms	(-.f64 (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (.f64 x (log.f64 (sqrt.f64 y)))) z)
105.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
103.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
15.0ms	(log.f64 (sqrt.f64 y))

Compiler

Compiled 1168 to 725 computations (37.9% saved)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5107	1579

prune99.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

Counts

136 → 7

Compiler

Compiled 2461 to 613 computations (75.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3)))
0.5b	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3))
0.7b	(pow.f64 (log.f64 (sqrt.f64 y)) 3)

rewrite170.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`cbrt-prod_binary64_109`
32×	`add-sqr-sqrt_binary64_100`
27×	`associate-r_binary64_18`
23×	`pow1_binary64_139`
21×	`log-pow_binary64_167` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
12×	`log-prod_binary64_164`
9×	`add-exp-log_binary64_116`
8×	`add-cbrt-cube_binary64_114`
7×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96`
6×	`unswap-sqr_binary64_46` `associate-l_binary64_19` `distribute-rgt-in_binary64_28` `sqrt-prod_binary64_94` `distribute-lft-in_binary64_27`
4×	`add-log-exp_binary64_117` `sqr-pow_binary64_50`
3×	`pow-unpow_binary64_155` `unpow3_binary64_144` `cube-mult_binary64_108`
2×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `rem-cube-cbrt_binary64_101` `pow1/3_binary64_160` `rem-cbrt-cube_binary64_102`

Counts

4 → 129

Calls

4 calls:

10.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
3.0ms	(pow.f64 (log.f64 (sqrt.f64 y)) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3))

Compiler

Compiled 3198 to 1405 computations (56.1% saved)

series242.0ms (5%)

Error

Counts

4 → 18

Calls

4 calls:

89.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
89.0ms	(*.f64 x (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3)))
40.0ms	(pow.f64 (log.f64 (sqrt.f64 y)) 3)
14.0ms	(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 3))

Compiler

Compiled 1049 to 662 computations (36.9% saved)

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4855	1539
1	4855	1539

prune134.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	148	6	154

Error

Counts

154 → 6

Compiler

Compiled 3172 to 1174 computations (63% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 y) 3))))
0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.5b	(cbrt.f64 (*.f64 1/8 (pow.f64 (log.f64 y) 3)))
0.7b	(pow.f64 (log.f64 y) 3)

rewrite117.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
13×	`pow1_binary64_139`
12×	`log-prod_binary64_164`
10×	`associate-r_binary64_18`
9×	`add-exp-log_binary64_116`
8×	`add-cbrt-cube_binary64_114`
6×	`distribute-rgt-in_binary64_28` `sqrt-prod_binary64_94` `distribute-lft-in_binary64_27` `associate-l_binary64_19`
5×	`log-pow_binary64_167`
4×	`unpow-prod-down_binary64_157` `add-log-exp_binary64_117` `cube-prod_binary64_106`
3×	`pow-unpow_binary64_155`
2×	`cbrt-prod_binary64_109` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `*-commutative_binary64_9`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `unpow3_binary64_144` `cube-mult_binary64_108` `rem-cube-cbrt_binary64_101` `sqr-pow_binary64_50` `pow1/3_binary64_160` `pow1/2_binary64_158` `sqrt-pow1_binary64_96`

Counts

4 → 86

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(.f64 x (cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 y) 3))))
4.0ms	(cbrt.f64 (*.f64 1/8 (pow.f64 (log.f64 y) 3)))
3.0ms	(pow.f64 (log.f64 y) 3)

Compiler

Compiled 2163 to 1108 computations (48.8% saved)

series416.0ms (8.6%)

Error

Counts

4 → 18

Calls

4 calls:

147.0ms	(.f64 x (cbrt.f64 (.f64 1/8 (pow.f64 (log.f64 y) 3))))
98.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
95.0ms	(pow.f64 (log.f64 y) 3)
62.0ms	(cbrt.f64 (*.f64 1/8 (pow.f64 (log.f64 y) 3)))

Compiler

Compiled 1040 to 760 computations (26.9% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4933	1164
1	4933	1164

prune104.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Error

Counts

110 → 6

Compiler

Compiled 2337 to 1161 computations (50.3% saved)

regimes220.0ms (4.5%)

Accuracy

Total 0.1b remaining (93.9%)

Threshold costs 0.1b (93.9%)

Compiler

Compiled 2214 to 1500 computations (32.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms (0%)

sample1.1s (22.9%)

Algorithm

1×

intervals

Results

324.0ms	7997×	body	128	valid
1.0ms	36×	body	128	invalid
1.0ms	42×	body	128	nan
0.0ms	1×	body	2048	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 572 to 387 computations (32.3% saved)

Details

analyze533.0ms (11%)

sample23.0ms (0.5%)

simplify326.0ms (6.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite51.0ms (1.1%)

series340.0ms (7%)

simplify66.0ms (1.4%)

prune48.0ms (1%)

localize9.0ms (0.2%)

rewrite107.0ms (2.2%)

series467.0ms (9.7%)

simplify69.0ms (1.4%)

prune99.0ms (2%)

localize16.0ms (0.3%)

rewrite170.0ms (3.5%)

series242.0ms (5%)

simplify77.0ms (1.6%)

prune134.0ms (2.8%)

localize16.0ms (0.3%)

rewrite117.0ms (2.4%)

series416.0ms (8.6%)

simplify63.0ms (1.3%)

prune104.0ms (2.2%)

regimes220.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (22.9%)

Profiling