Details

analyze719.0ms (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`distribute-lft-in_binary64_27` `add-cube-cbrt_binary64_113` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28`
5×	`associate-r_binary64_18`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `sub-neg_binary64_71` `pow1_binary64_139`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `flip--_binary64_53` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `difference-of-squares_binary64_47` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

2 → 49

Calls

2 calls:

15.0ms	(*.f64 y (-.f64 z x))
8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series429.0ms (7%)

Counts

2 → 33

Calls

2 calls:

232.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
196.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5323	764

prune94.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Error

0.0b

Counts

83 → 4

Compiler

Compiled 840 to 180 computations (78.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
0.0b	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_117`
4×	`*-un-lft-identity_binary64_78` `sum-log_binary64_169`
2×	`add-cbrt-cube_binary64_114` `+-commutative_binary64_8` `add-sqr-sqrt_binary64_100` `flip-+_binary64_52` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38` `distribute-lft-out_binary64_29` `pow1_binary64_139` `flip3-+_binary64_81`
1×	`associate-+r-_binary64_12` `associate-+r+_binary64_10`

Counts

2 → 28

Calls

2 calls:

9.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
7.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

series414.0ms (6.7%)

Counts

2 → 33

Calls

2 calls:

230.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
184.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

Compiler

Compiled 391 to 332 computations (15.1% saved)

simplify124.0ms (2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5170	600

prune62.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

0.0b

Counts

65 → 4

Compiler

Compiled 595 to 119 computations (80% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
2.7b	(-.f64 (.f64 z z) (.f64 x x))
8.5b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
19.9b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
10×	`add-sqr-sqrt_binary64_100`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`pow1_binary64_139`
4×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r_binary64_22` `associate-r/_binary64_20`
3×	`associate-l_binary64_19` `flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`
2×	`distribute-lft-in_binary64_27` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `difference-of-squares_binary64_47` `associate-/r/_binary64_24` `associate-/l/_binary64_25` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `sum-log_binary64_169`

Counts

4 → 77

Calls

4 calls:

17.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
12.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
12.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
7.0ms	(-.f64 (.f64 z z) (.f64 x x))

series1.5s (24.9%)

Counts

4 → 60

Calls

4 calls:

608.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
395.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
357.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
177.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1149 to 912 computations (20.6% saved)

simplify125.0ms (2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4968	1669
1	4968	1669

prune146.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Error

0.0b

Counts

141 → 4

Compiler

Compiled 2011 to 342 computations (83% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))
0.1b	(*.f64 (-.f64 z x) (sqrt.f64 y))
0.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_100`
11×	`associate-l_binary64_19`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
8×	`add-cube-cbrt_binary64_113`
7×	`sqrt-prod_binary64_94` `associate-r_binary64_18`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-*l/_binary64_21` `pow-prod-down_binary64_149`
2×	`-commutative_binary64_9` `flip3--_binary64_82` `flip--_binary64_53` `unswap-sqr_binary64_46` `associate-r/_binary64_20`
1×	`+-commutative_binary64_8` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `difference-of-squares_binary64_47` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 60

Calls

3 calls:

18.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
14.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
6.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))

series573.0ms (9.3%)

Counts

3 → 47

Calls

3 calls:

214.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y))))
199.0ms	(*.f64 (-.f64 z x) (sqrt.f64 y))
160.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))

Compiler

Compiled 794 to 621 computations (21.8% saved)

simplify119.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5305	1096

prune110.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Error

0.0b

Counts

111 → 4

Compiler

Compiled 1243 to 249 computations (80% saved)

regimes194.0ms (3.1%)

Accuracy

Total 0.0b remaining (82.2%)

Threshold costs 0.0b (82.2%)

Compiler

Compiled 568 to 470 computations (17.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample1.1s (18.2%)

Algorithm

1×

intervals

Results

373.0ms	8000×	body	128	valid
24.0ms	540×	body	128	invalid

Compiler

Compiled 152 to 126 computations (17.1% saved)

Details

analyze719.0ms (11.7%)

sample24.0ms (0.4%)

simplify34.0ms (0.5%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite30.0ms (0.5%)

series429.0ms (7%)

simplify122.0ms (2%)

prune94.0ms (1.5%)

localize13.0ms (0.2%)

rewrite20.0ms (0.3%)

series414.0ms (6.7%)

simplify124.0ms (2%)

prune62.0ms (1%)

localize18.0ms (0.3%)

rewrite59.0ms (1%)

series1.5s (24.9%)

simplify125.0ms (2%)

prune146.0ms (2.4%)

localize16.0ms (0.3%)

rewrite45.0ms (0.7%)

series573.0ms (9.3%)

simplify119.0ms (1.9%)

prune110.0ms (1.8%)

regimes194.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (18.2%)

Profiling