Details

analyze641.0ms (11.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	75×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	438	10
1	438	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

0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
0.7b	(-.f64 (.f64 x y) (.f64 z y))
0.7b	(-.f64 (.f64 x y) (.f64 z y))
6.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_9989`
4×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908` `add-cube-cbrt_binary64_10002` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028`
3×	`associate-r_binary64_9907`
2×	`flip--_binary64_9942` `associate-*l/_binary64_9910` `flip3--_binary64_9971` `distribute-rgt-out--_binary64_9921`
1×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `sub-neg_binary64_9960` `pow-prod-down_binary64_10038` `diff-log_binary64_10059` `unswap-sqr_binary64_9935` `cancel-sign-sub-inv_binary64_9933` `*-commutative_binary64_9898`

Counts

2 → 34

Calls

4 calls:

8.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
5.0ms	(-.f64 (.f64 x y) (.f64 z y))
0.0ms	(-.f64 (.f64 x y) (.f64 z y))
0.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series311.0ms (5.5%)

Counts

2 → 33

Calls

2 calls:

204.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
107.0ms	(-.f64 (.f64 x y) (.f64 z y))

Compiler

Compiled 462 to 430 computations (6.9% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5048	696

prune55.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Error

0.0b

Counts

69 → 8

Compiler

Compiled 789 to 199 computations (74.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.2b	(.f64 y (.f64 t (-.f64 x z)))
0.0b	(*.f64 t (-.f64 x z))
0.0b	(*.f64 t (-.f64 x z))
7.2b	(.f64 y (.f64 t (-.f64 x z)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917`
18×	`cancel-sign-sub-inv_binary64_9933`
15×	`add-sqr-sqrt_binary64_9989`
13×	`*-un-lft-identity_binary64_9967`
11×	`add-cube-cbrt_binary64_10002`
9×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `pow1_binary64_10028`
6×	`associate-l_binary64_9908` `associate-r_binary64_9907` `sub-neg_binary64_9960` `associate-*r/_binary64_9909`
4×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `pow-prod-down_binary64_10038`
2×	`flip--_binary64_9942` `flip3--_binary64_9971` `add-log-exp_binary64_10006` `*-commutative_binary64_9898`
1×	`difference-of-squares_binary64_9936` `unswap-sqr_binary64_9935` `distribute-lft-out--_binary64_9919`

Counts

2 → 66

Calls

4 calls:

10.0ms	(.f64 y (.f64 t (-.f64 x z)))
8.0ms	(*.f64 t (-.f64 x z))
0.0ms	(*.f64 t (-.f64 x z))
0.0ms	(.f64 y (.f64 t (-.f64 x z)))

series281.0ms (5%)

Counts

2 → 33

Calls

2 calls:

185.0ms	(.f64 y (.f64 t (-.f64 x z)))
96.0ms	(*.f64 t (-.f64 x z))

Compiler

Compiled 446 to 418 computations (6.3% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4932	1049
1	4932	1049

prune62.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	101	6	107

Error

Counts

107 → 6

Compiler

Compiled 1038 to 189 computations (81.8% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

6.7b	(.f64 y (.f64 t (neg.f64 z)))
5.3b	(.f64 y (.f64 t x))
0.0b	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
0.0b	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
5.3b	(.f64 y (.f64 t x))
6.7b	(.f64 y (.f64 t (neg.f64 z)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `pow1_binary64_10028`
6×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `associate-l_binary64_9908` `pow-prod-down_binary64_10038`
5×	`add-sqr-sqrt_binary64_9989` `add-cube-cbrt_binary64_10002` `add-log-exp_binary64_10006` `*-un-lft-identity_binary64_9967`
4×	`distribute-rgt-neg-out_binary64_9927`
2×	`associate-r_binary64_9907` `*-commutative_binary64_9898`
1×	`flip3-+_binary64_9970` `unsub-neg_binary64_9961` `distribute-lft-out_binary64_9918` `flip-+_binary64_9941` `+-commutative_binary64_9897` `sum-log_binary64_10058`

Counts

3 → 50

Calls

6 calls:

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

series417.0ms (7.4%)

Counts

3 → 36

Calls

3 calls:

224.0ms	(+.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t (neg.f64 z))))
105.0ms	(.f64 y (.f64 t (neg.f64 z)))
88.0ms	(.f64 y (.f64 t x))

Compiler

Compiled 734 to 632 computations (13.9% saved)

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5487	867

prune48.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Error

Counts

92 → 6

Compiler

Compiled 1142 to 202 computations (82.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

8.0b	(.f64 (.f64 y t) (-.f64 x z))
8.0b	(.f64 (.f64 y t) (-.f64 x z))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_9989` `add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `*-un-lft-identity_binary64_9967` `pow1_binary64_10028` `cancel-sign-sub-inv_binary64_9933`
5×	`associate-r_binary64_9907`
4×	`distribute-lft-in_binary64_9916` `add-cube-cbrt_binary64_10002` `distribute-rgt-in_binary64_9917`
3×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `pow-prod-down_binary64_10038`
2×	`sub-neg_binary64_9960` `associate-*r/_binary64_9909`
1×	`flip--_binary64_9942` `associate-l_binary64_9908` `flip3--_binary64_9971` `difference-of-squares_binary64_9936` `add-log-exp_binary64_10006` `distribute-lft-out--_binary64_9919` `*-commutative_binary64_9898`

Counts

1 → 30

Calls

2 calls:

9.0ms	(.f64 (.f64 y t) (-.f64 x z))
0.0ms	(.f64 (.f64 y t) (-.f64 x z))

series183.0ms (3.2%)

Counts

1 → 18

Calls

1 calls:

183.0ms

(*.f64 (*.f64 y t) (-.f64 x z))

Compiler

Compiled 260 to 238 computations (8.5% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	558
1	4974	558

prune23.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Error

Counts

54 → 6

Compiler

Compiled 470 to 69 computations (85.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	263	582
1	263	582

regimes385.0ms (6.8%)

Compiler: Compiled 1524 to 1168 computations (23.4% saved)

bsearch42.0ms (0.7%)

Steps

Iters	Range		Point
9	1.7372176501061387e-50	2.1252586757793463e-42	1.8279941513435347e-47
9	-3.612712528651392e+105	-1.0193383624433439e+96	-1.0358517492678618e+96

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes193.0ms (3.4%)

Compiler: Compiled 308 to 396 computations (-28.6% saved)

bsearch39.0ms (0.7%)

Steps

Iters	Range		Point
9	1.7372176501061387e-50	2.1252586757793463e-42	1.9391183994431827e-45
9	-3.612712528651392e+105	-1.0193383624433439e+96	-4.098859952306187e+96

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes107.0ms (1.9%)

Compiler: Compiled 180 to 276 computations (-53.3% saved)

bsearch31.0ms (0.5%)

Steps

Iters	Range		Point
8	-4.672124343605748e-271	-7.074089365475483e-274	-9.436019428721827e-272
9	-1.133699026224251e-222	-2.1027694971411727e-229	-3.291179724615573e-229

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes236.0ms (4.2%)

Compiler: Compiled 152 to 248 computations (-63.2% saved)

bsearch64.0ms (1.1%)

Steps

Iters	Range		Point
9	9.252377153779986e+97	7.867373905072251e+102	9.361864281684967e+97
9	104850800.09364258	15710656780671.03	18570506605.354034
6	2.1850481895423295e-44	1.0694059159540088e-43	2.560254472377094e-44
4	-4.0282186237378033e-56	-2.6222959990429933e-56	-3.2813222293686855e-56

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes207.0ms (3.7%)

Compiler: Compiled 128 to 220 computations (-71.9% saved)

bsearch66.0ms (1.2%)

Steps

Iters	Range		Point
9	9.252377153779986e+97	7.867373905072251e+102	9.361864281684967e+97
9	104850800.09364258	15710656780671.03	8628286400.02778
8	4.577351097086415e-67	3.05694001259828e-64	6.159543184306834e-65
4	-4.0282186237378033e-56	-2.6222959990429933e-56	-3.720673049585814e-56

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes190.0ms (3.3%)

Compiler: Compiled 104 to 192 computations (-84.6% saved)

bsearch58.0ms (1%)

Steps

Iters	Range		Point
9	9.252377153779986e+97	7.867373905072251e+102	1.6079895944916527e+99
9	104850800.09364258	15710656780671.03	32440858847.327892
8	4.577351097086415e-67	3.05694001259828e-64	3.0196792545312414e-64
1	-2.6222959990429933e-56	-2.3962037425596232e-56	-2.452726806680466e-56

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes71.0ms (1.2%)

Compiler: Compiled 80 to 164 computations (-105% saved)

bsearch18.0ms (0.3%)

Steps

Iters	Range		Point
9	1.7372176501061387e-50	2.1252586757793463e-42	1.347308895368109e-42

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes67.0ms (1.2%)

Compiler: Compiled 60 to 140 computations (-133.3% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
6	3.247160613595853e-293	1.4525491871138564e-292	8.98581219630675e-293
7	-1.758523342966863e+142	-1.4615964640074217e+140	-1.5901320942153635e+140

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes41.0ms (0.7%)

Compiler: Compiled 40 to 116 computations (-190% saved)

bsearch0.0ms (0%)

regimes36.0ms (0.6%)

Accuracy

Total 2.9b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch11.0ms (0.2%)

Compiler: Compiled 262 to 161 computations (38.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	193	351
1	193	351

end0.0ms (0%)

sample1.2s (21.7%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
56.0ms	1941×	body	128	invalid

Compiler

Compiled 658 to 479 computations (27.2% saved)

Pareto

0.41138270379067743

Details

analyze641.0ms (11.3%)

sample26.0ms (0.5%)

simplify117.0ms (2.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite15.0ms (0.3%)

series311.0ms (5.5%)

simplify57.0ms (1%)

prune55.0ms (1%)

localize6.0ms (0.1%)

rewrite23.0ms (0.4%)

series281.0ms (5%)

simplify62.0ms (1.1%)

prune62.0ms (1.1%)

localize9.0ms (0.2%)

rewrite25.0ms (0.4%)

series417.0ms (7.4%)

simplify83.0ms (1.5%)

prune48.0ms (0.9%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series183.0ms (3.2%)

simplify53.0ms (0.9%)

prune23.0ms (0.4%)

simplify11.0ms (0.2%)

regimes385.0ms (6.8%)

bsearch42.0ms (0.7%)

regimes193.0ms (3.4%)

bsearch39.0ms (0.7%)

regimes107.0ms (1.9%)

bsearch31.0ms (0.5%)

regimes236.0ms (4.2%)

bsearch64.0ms (1.1%)

regimes207.0ms (3.7%)

bsearch66.0ms (1.2%)

regimes190.0ms (3.3%)

bsearch58.0ms (1%)

regimes71.0ms (1.2%)

bsearch18.0ms (0.3%)

regimes67.0ms (1.2%)

bsearch29.0ms (0.5%)

regimes41.0ms (0.7%)

bsearch0.0ms (0%)

regimes36.0ms (0.6%)

bsearch11.0ms (0.2%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.2s (21.7%)

Profiling