Details

analyze256.0ms (6.9%)

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
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)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify105.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite19.0ms (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

4 calls:

10.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
0.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
0.0ms	(*.f64 y (-.f64 z x))

series227.0ms (6.1%)

Counts

2 → 33

Calls

2 calls:

121.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
107.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5323	764

prune56.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 843 to 180 computations (78.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite14.0ms (0.4%)

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

4 calls:

7.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
5.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
0.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
0.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

series229.0ms (6.1%)

Counts

2 → 33

Calls

2 calls:

125.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))
104.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))

Compiler

Compiled 391 to 332 computations (15.1% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5170	600

prune32.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 602 to 122 computations (79.7% saved)

localize13.0ms (0.4%)

Local error

Found 8 expressions with local error:

8.1b	(.f64 (.f64 y y) (+.f64 z x))
3.0b	(.f64 (-.f64 z x) (.f64 (*.f64 y y) (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (/.f64 (.f64 (-.f64 z x) (.f64 (.f64 y y) (+.f64 z x))) (.f64 y (+.f64 z x))))
0.0b	(*.f64 y (+.f64 z x))
3.0b	(.f64 (-.f64 z x) (.f64 (*.f64 y y) (+.f64 z x)))
8.1b	(.f64 (.f64 y y) (+.f64 z x))
28.3b	(/.f64 (.f64 (-.f64 z x) (.f64 (.f64 y y) (+.f64 z x))) (.f64 y (+.f64 z x)))

rewrite66.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
26×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
22×	`associate-*r/_binary64_20`
20×	`pow1_binary64_139`
14×	`*-un-lft-identity_binary64_78`
13×	`add-sqr-sqrt_binary64_100`
10×	`pow-prod-down_binary64_149`
9×	`associate-l_binary64_19` `flip-+_binary64_52` `associate-r_binary64_18` `flip3-+_binary64_81`
8×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `add-cube-cbrt_binary64_113` `frac-times_binary64_88` `associate-/l/_binary64_25`
6×	`distribute-lft-in_binary64_27` `flip3--_binary64_82` `distribute-rgt-in_binary64_28` `flip--_binary64_53`
4×	`add-log-exp_binary64_117` `associate-*l/_binary64_21`
3×	`*-commutative_binary64_9`
2×	`unswap-sqr_binary64_46` `associate-/r/_binary64_24` `distribute-lft-out_binary64_29`
1×	`distribute-lft-out--_binary64_30` `frac-2neg_binary64_89` `times-frac_binary64_84` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22` `difference-of-squares_binary64_47` `clear-num_binary64_77`

Counts

4 → 121

Calls

8 calls:

21.0ms	(/.f64 (.f64 (-.f64 z x) (.f64 (.f64 y y) (+.f64 z x))) (.f64 y (+.f64 z x)))
15.0ms	(.f64 (-.f64 z x) (.f64 (*.f64 y y) (+.f64 z x)))
10.0ms	(.f64 (.f64 y y) (+.f64 z x))
7.0ms	(*.f64 y (+.f64 z x))
0.0ms	(+.f64 x (/.f64 (.f64 (-.f64 z x) (.f64 (.f64 y y) (+.f64 z x))) (.f64 y (+.f64 z x))))

series527.0ms (14.1%)

Counts

4 → 60

Calls

4 calls:

222.0ms	(.f64 (-.f64 z x) (.f64 (*.f64 y y) (+.f64 z x)))
119.0ms	(.f64 (.f64 y y) (+.f64 z x))
100.0ms	(/.f64 (.f64 (-.f64 z x) (.f64 (.f64 y y) (+.f64 z x))) (.f64 y (+.f64 z x)))
85.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 1632 to 1164 computations (28.7% saved)

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5126	2335

prune115.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	181	3	184

Error

Counts

184 → 3

Compiler

Compiled 3640 to 568 computations (84.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
0.2b	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-l_binary64_19`
13×	`add-sqr-sqrt_binary64_100`
10×	`sqrt-prod_binary64_94`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`add-log-exp_binary64_117`
6×	`distribute-lft-neg-in_binary64_35` `associate-r_binary64_18` `distribute-rgt-neg-in_binary64_36`
4×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`distribute-lft-neg-out_binary64_37` `sum-log_binary64_169`
2×	`unswap-sqr_binary64_46`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `neg-mul-1_binary64_74` `associate-+l+_binary64_11` `pow-prod-down_binary64_149` `unsub-neg_binary64_72` `flip3-+_binary64_81`

Counts

2 → 50

Calls

4 calls:

10.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
9.0ms	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
0.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
0.0ms	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

series133.0ms (3.6%)

Counts

2 → 20

Calls

2 calls:

114.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
18.0ms	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 264 to 227 computations (14% saved)

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5218	650

prune39.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 938 to 196 computations (79.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	110	219
1	110	219

regimes106.0ms (2.8%)

Compiler: Compiled 557 to 464 computations (16.7% saved)

bsearch0.0ms (0%)

regimes58.0ms (1.5%)

Compiler: Compiled 136 to 190 computations (-39.7% saved)

bsearch0.0ms (0%)

regimes82.0ms (2.2%)

Compiler: Compiled 72 to 120 computations (-66.7% saved)

bsearch23.0ms (0.6%)

Steps

Iters	Range		Point
8	0.5953348852832063	22523.25072954268	0.9956953243829788
6	-433139891498.1852	-88591017432.01973	-89818618282.91447

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes106.0ms (2.8%)

Compiler: Compiled 57 to 105 computations (-84.2% saved)

bsearch55.0ms (1.5%)

Steps

Iters	Range		Point
9	8.878806186440847e-39	7.429767944904094e-30	1.7944673035702988e-35
9	2.039948444011865e-104	3.645812555644039e-99	3.6303759550639167e-104
7	7.792322200003051e-144	2.389076718237891e-142	4.0371723615036114e-143
10	-88591017432.01973	-2.6317874745283957e-06	-3.8679192498212615e-05

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes130.0ms (3.5%)

Compiler: Compiled 42 to 90 computations (-114.3% saved)

bsearch49.0ms (1.3%)

Steps

Iters	Range		Point
9	8.878806186440847e-39	7.429767944904094e-30	1.9636970965493405e-31
9	2.039948444011865e-104	3.645812555644039e-99	2.3027110144778568e-104
7	7.792322200003051e-144	2.389076718237891e-142	2.1044493989060077e-142
10	-88591017432.01973	-2.6317874745283957e-06	-2.682925795823981e-06

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes89.0ms (2.4%)

Compiler: Compiled 27 to 75 computations (-177.8% saved)

bsearch49.0ms (1.3%)

Steps

Iters	Range		Point
9	8.878806186440847e-39	7.429767944904094e-30	3.00433268063754e-38
9	2.039948444011865e-104	3.645812555644039e-99	8.893464099454243e-102
7	7.792322200003051e-144	2.389076718237891e-142	2.294200945127263e-142
10	-88591017432.01973	-2.6317874745283957e-06	-2.682925795823981e-06

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.8%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.7%)

Accuracy

Total 0.0b remaining (69.1%)

Threshold costs 0.0b (69.1%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.2%)

Compiler: Compiled 138 to 87 computations (37% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	113	186
1	113	186

end0.0ms (0%)

sample738.0ms (19.8%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
13.0ms	579×	body	128	invalid

Compiler

Compiled 261 to 199 computations (23.8% saved)

Pareto

0.3992891955391784

Details

analyze256.0ms (6.9%)

sample14.0ms (0.4%)

simplify105.0ms (2.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite19.0ms (0.5%)

series227.0ms (6.1%)

simplify64.0ms (1.7%)

prune56.0ms (1.5%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series229.0ms (6.1%)

simplify68.0ms (1.8%)

prune32.0ms (0.9%)

localize13.0ms (0.4%)

rewrite66.0ms (1.8%)

series527.0ms (14.1%)

simplify82.0ms (2.2%)

prune115.0ms (3.1%)

localize9.0ms (0.2%)

rewrite23.0ms (0.6%)

series133.0ms (3.6%)

simplify68.0ms (1.8%)

prune39.0ms (1%)

simplify5.0ms (0.1%)

regimes106.0ms (2.8%)

bsearch0.0ms (0%)

regimes58.0ms (1.5%)

bsearch0.0ms (0%)

regimes82.0ms (2.2%)

bsearch23.0ms (0.6%)

regimes106.0ms (2.8%)

bsearch55.0ms (1.5%)

regimes130.0ms (3.5%)

bsearch49.0ms (1.3%)

regimes89.0ms (2.4%)

bsearch49.0ms (1.3%)

regimes28.0ms (0.8%)

bsearch0.0ms (0%)

regimes27.0ms (0.7%)

bsearch6.0ms (0.2%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample738.0ms (19.8%)

Profiling