Details

analyze919.0ms (13.1%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample50.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	200×	body	128	valid
11.0ms	28×	body	1024	valid
3.0ms	12×	body	512	valid
3.0ms	8×	body	1024	invalid
2.0ms	16×	body	256	valid
2.0ms	7×	body	512	invalid
2.0ms	31×	body	128	nan
1.0ms	16×	body	128	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify171.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4944	16
1	4944	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

6.2b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)
0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
0.0b	(/.f64 y (+.f64 y z))
0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_12695`
24×	`times-frac_binary64_12701`
21×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
18×	`unpow-prod-down_binary64_12774`
8×	`distribute-lft-out_binary64_12646` `add-exp-log_binary64_12733`
5×	`add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731`
4×	`associate-/r/_binary64_12641` `associate-/r*_binary64_12639` `pow1_binary64_12756`
3×	`associate-/l*_binary64_12640` `flip-+_binary64_12669` `pow-unpow_binary64_12772` `flip3-+_binary64_12698`
2×	`div-exp_binary64_12746` `div-inv_binary64_12692` `pow-exp_binary64_12763`
1×	`cbrt-undiv_binary64_12729` `frac-2neg_binary64_12706` `pow-pow_binary64_12767` `pow-to-exp_binary64_12764` `sum-log_binary64_12786` `sqr-pow_binary64_12667` `+-commutative_binary64_12625` `clear-num_binary64_12694`

Counts

3 → 78

Calls

6 calls:

23.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
5.0ms	(/.f64 y (+.f64 y z))
0.0ms	(/.f64 y (+.f64 y z))
0.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

series406.0ms (5.8%)

Counts

3 → 42

Calls

3 calls:

270.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
71.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
64.0ms	(/.f64 y (+.f64 y z))

Compiler

Compiled 997 to 810 computations (18.8% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4929	1860
1	4929	1860

prune123.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Compiler

Compiled 1961 to 552 computations (71.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 1 y))
0.0b	(+.f64 x (/.f64 1 y))

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_12695`
3×	`add-log-exp_binary64_12734`
2×	`distribute-lft-out_binary64_12646`
1×	`add-cube-cbrt_binary64_12730` `div-inv_binary64_12692` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sum-log_binary64_12786` `add-exp-log_binary64_12733` `add-sqr-sqrt_binary64_12717` `+-commutative_binary64_12625` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`

Counts

1 → 13

Calls

2 calls:

6.0ms	(+.f64 x (/.f64 1 y))
0.0ms	(+.f64 x (/.f64 1 y))

series45.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

44.0ms

(+.f64 x (/.f64 1 y))

Compiler

Compiled 70 to 94 computations (-34.3% saved)

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4881	201
1	4881	201

prune20.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Compiler

Compiled 232 to 147 computations (36.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_12695`
10×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
9×	`times-frac_binary64_12701`
4×	`add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731`
3×	`associate-/l_binary64_12640` `add-exp-log_binary64_12733` `associate-/r_binary64_12639`
2×	`associate-/l/_binary64_12642` `pow1_binary64_12756`
1×	`exp-diff_binary64_12743` `neg-sub0_binary64_12690` `div-exp_binary64_12746` `distribute-lft-out_binary64_12646` `cbrt-undiv_binary64_12729` `frac-2neg_binary64_12706` `exp-neg_binary64_12742` `div-inv_binary64_12692` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sum-log_binary64_12786` `+-commutative_binary64_12625` `clear-num_binary64_12694`

Counts

2 → 41

Calls

4 calls:

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

series199.0ms (2.8%)

Counts

2 → 27

Calls

2 calls:

130.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
69.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 312 to 306 computations (1.9% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4892	902
1	4892	902

prune48.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 811 to 238 computations (70.7% saved)

localize19.0ms (0.3%)

Local error

Found 8 expressions with local error:

2.0b	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y)))
0.3b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (.f64 y y))
0.0b	(/.f64 y (+.f64 y z))
0.0b	(/.f64 y (+.f64 y z))
2.0b	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y)))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y 2))
6.3b	(pow.f64 (/.f64 y (+.f64 y z)) y)
29.1b	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))

rewrite121.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`add-sqr-sqrt_binary64_12717`
230×	`times-frac_binary64_12701`
100×	`difference-of-squares_binary64_12664`
94×	`unpow-prod-down_binary64_12774`
86×	`*-un-lft-identity_binary64_12695`
50×	`add-cube-cbrt_binary64_12730`
26×	`cancel-sign-sub-inv_binary64_12661`
23×	`sqr-pow_binary64_12667`
12×	`add-exp-log_binary64_12733`
9×	`distribute-lft-out_binary64_12646` `distribute-lft-out--_binary64_12647` `associate-/r*_binary64_12639`
8×	`associate-/l*_binary64_12640` `associate-/r/_binary64_12641`
6×	`pow1_binary64_12756` `add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731`
5×	`div-inv_binary64_12692`
4×	`pow-unpow_binary64_12772` `pow-exp_binary64_12763`
3×	`div-exp_binary64_12746` `flip3--_binary64_12699` `flip-+_binary64_12669` `flip--_binary64_12670` `flip3-+_binary64_12698`
2×	`associate-/l/_binary64_12642` `pow-pow_binary64_12767` `pow-to-exp_binary64_12764`
1×	`diff-log_binary64_12787` `cbrt-undiv_binary64_12729` `frac-2neg_binary64_12706` `div-sub_binary64_12700` `sub-neg_binary64_12688` `clear-num_binary64_12694`

Counts

4 → 212

Calls

8 calls:

47.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
18.0ms	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y)))
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y 2))
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
0.0ms	(/.f64 y (+.f64 y z))

series1.3s (18.9%)

Counts

4 → 52

Calls

4 calls:

692.0ms	(/.f64 (-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)))
439.0ms	(-.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) (.f64 y 2)) (*.f64 y y)))
98.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
96.0ms	(pow.f64 (/.f64 y (+.f64 y z)) (*.f64 y 2))

Compiler

Compiled 3676 to 2644 computations (28.1% saved)

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4970	12740
1	4970	12740

prune354.0ms (5.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	264	5	269

Error

Counts

269 → 5

Compiler

Compiled 11610 to 3146 computations (72.9% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	237	850
1	237	850

regimes190.0ms (2.7%)

Compiler: Compiled 1662 to 1074 computations (35.4% saved)

bsearch28.0ms (0.4%)

Steps

Iters	Range		Point
8	7.837268133509612e-19	1.656886638184341e-14	1.61703301965114e-14

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes41.0ms (0.6%)

Compiler: Compiled 102 to 150 computations (-47.1% saved)

bsearch0.0ms (0%)

regimes115.0ms (1.6%)

Compiler: Compiled 27 to 78 computations (-188.9% saved)

bsearch79.0ms (1.1%)

Steps

Iters	Range		Point
10	221.5454263556495	602489394350542.2	224.12913963770683
10	-1.5873751465108696e+55	-1.1659424235779936e+45	-1.2011297902212492e+45

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.4%)

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

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.3%)

Accuracy

Total 0.9b remaining (97.6%)

Threshold costs 0.9b (97.6%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 37 to 41 computations (-10.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	52
1	33	52

end0.0ms (0%)

sample2.1s (30%)

Algorithm

1×

intervals

Results

409.0ms	6164×	body	128	valid
372.0ms	946×	body	1024	valid
135.0ms	562×	body	512	valid
77.0ms	210×	body	1024	invalid
60.0ms	255×	body	512	invalid
51.0ms	1037×	body	128	nan
49.0ms	324×	body	256	valid
32.0ms	421×	body	128	invalid
23.0ms	157×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 632 to 427 computations (32.4% saved)

Pareto

0.744451687737285

Details

analyze919.0ms (13.1%)

sample50.0ms (0.7%)

simplify171.0ms (2.4%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite46.0ms (0.7%)

series406.0ms (5.8%)

simplify90.0ms (1.3%)

prune123.0ms (1.8%)

localize4.0ms (0.1%)

rewrite7.0ms (0.1%)

series45.0ms (0.6%)

simplify105.0ms (1.5%)

prune20.0ms (0.3%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series199.0ms (2.8%)

simplify98.0ms (1.4%)

prune48.0ms (0.7%)

localize19.0ms (0.3%)

rewrite121.0ms (1.7%)

series1.3s (18.9%)

simplify169.0ms (2.4%)

prune354.0ms (5.1%)

simplify14.0ms (0.2%)

regimes190.0ms (2.7%)

bsearch28.0ms (0.4%)

regimes41.0ms (0.6%)

bsearch0.0ms (0%)

regimes115.0ms (1.6%)

bsearch79.0ms (1.1%)

regimes28.0ms (0.4%)

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

bsearch0.0ms (0%)

regimes22.0ms (0.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (30%)

Profiling