Details

analyze1.1s (10.8%)

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify266.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

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

2.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite151.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_12717`
71×	`*-un-lft-identity_binary64_12695`
51×	`times-frac_binary64_12701`
31×	`associate-r_binary64_12635`
27×	`add-cube-cbrt_binary64_12730`
22×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
10×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
5×	`pow1_binary64_12756` `add-log-exp_binary64_12734` `associate-/l_binary64_12640` `associate-/r_binary64_12639`
4×	`associate-/r/_binary64_12641`
3×	`associate-l_binary64_12636` `flip3--_binary64_12699` `flip--_binary64_12670`
2×	`div-exp_binary64_12746` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `cbrt-undiv_binary64_12729` `unswap-sqr_binary64_12663` `div-inv_binary64_12692` `associate-/l/_binary64_12642`
1×	`pow-prod-down_binary64_12766` `associate-r/_binary64_12637` `-commutative_binary64_12626` `frac-2neg_binary64_12706` `div-sub_binary64_12700` `clear-num_binary64_12694` `sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `+-commutative_binary64_12625`

Counts

3 → 113

Calls

3 calls:

20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.1s (10.2%)

Error

0.0b

Counts

3 → 75

Calls

3 calls:

494.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
296.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
195.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 3328 to 2017 computations (39.4% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5094	3165

prune162.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	6	189

Error

0.0b

Counts

189 → 6

Compiler

Compiled 3172 to 658 computations (79.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
0.0b	(*.f64 (-.f64 z t) y)
10.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_12717` `*-un-lft-identity_binary64_12695`
10×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
7×	`add-cube-cbrt_binary64_12730`
5×	`pow1_binary64_12756` `add-log-exp_binary64_12734` `times-frac_binary64_12701` `associate-/r_binary64_12639` `associate-l*_binary64_12636`
4×	`associate-*l/_binary64_12638`
3×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647` `flip3--_binary64_12699` `flip--_binary64_12670` `associate-r_binary64_12635`
2×	`prod-exp_binary64_12744` `div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `cbrt-unprod_binary64_12728` `associate-/l/_binary64_12642` `associate-/r/_binary64_12641`
1×	`frac-2neg_binary64_12706` `clear-num_binary64_12694` `div-inv_binary64_12692` `associate-/l_binary64_12640` `pow-prod-down_binary64_12766` `unswap-sqr_binary64_12663` `-commutative_binary64_12626` `sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `distribute-lft-out_binary64_12646` `+-commutative_binary64_12625`

Counts

3 → 63

Calls

3 calls:

11.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
11.0ms	(*.f64 (-.f64 z t) y)
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))

Compiler

Compiled 1199 to 289 computations (75.9% saved)

series918.0ms (8.8%)

Error

0.0b

Counts

3 → 70

Calls

3 calls:

455.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)))
280.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
129.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2872 to 1669 computations (41.9% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5576	1935

prune109.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Error

Counts

139 → 5

Compiler

Compiled 1923 to 363 computations (81.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
0.0b	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))
10.8b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))

rewrite116.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64_12717`
39×	`*-un-lft-identity_binary64_12695`
31×	`times-frac_binary64_12701`
23×	`add-cube-cbrt_binary64_12730`
21×	`associate-r_binary64_12635`
10×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
8×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
5×	`pow1_binary64_12756` `add-log-exp_binary64_12734` `associate-l_binary64_12636` `associate-/r*_binary64_12639`
4×	`flip3--_binary64_12699` `flip--_binary64_12670` `associate-/r/_binary64_12641`
3×	`associate-/l*_binary64_12640`
2×	`div-exp_binary64_12746` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `cbrt-undiv_binary64_12729` `frac-times_binary64_12705` `unswap-sqr_binary64_12663` `associate-*l/_binary64_12638` `div-inv_binary64_12692`
1×	`pow-prod-down_binary64_12766` `associate-r/_binary64_12637` `-commutative_binary64_12626` `sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `+-commutative_binary64_12625` `frac-2neg_binary64_12706` `clear-num_binary64_12694`

Counts

3 → 94

Calls

3 calls:

17.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))
8.0ms	(/.f64 y (-.f64 z a))
7.0ms	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))

Compiler

Compiled 1884 to 440 computations (76.6% saved)

series929.0ms (8.9%)

Error

Counts

3 → 70

Calls

3 calls:

492.0ms	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))
286.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))
96.0ms	(/.f64 y (-.f64 z a))

Compiler

Compiled 3013 to 1796 computations (40.4% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4975	2564
1	4975	2564

prune141.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	164	5	169

Error

Counts

169 → 5

Compiler

Compiled 2591 to 491 computations (81% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
0.1b	(.f64 (.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))) (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
2.5b	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
2.5b	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite327.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

144×	`add-sqr-sqrt_binary64_12717`
131×	`*-un-lft-identity_binary64_12695`
126×	`sqrt-prod_binary64_12711`
103×	`times-frac_binary64_12701`
68×	`associate-r_binary64_12635`
51×	`add-cube-cbrt_binary64_12730`
40×	`difference-of-squares_binary64_12664` `distribute-lft-out--_binary64_12647`
13×	`pow1_binary64_12756`
11×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
8×	`associate-/r/_binary64_12641`
7×	`sqrt-div_binary64_12712`
4×	`add-log-exp_binary64_12734` `div-inv_binary64_12692` `flip3--_binary64_12699` `flip--_binary64_12670` `rem-sqrt-square_binary64_12708` `pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `associate-r/_binary64_12637` `associate-l*_binary64_12636`
3×	`unswap-sqr_binary64_12663`
2×	`pow1/2_binary64_12775` `sqrt-pow1_binary64_12713` `*-commutative_binary64_12626`
1×	`frac-times_binary64_12705` `associate-*l/_binary64_12638`

Counts

4 → 190

Calls

4 calls:

25.0ms	(.f64 (.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))) (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
18.0ms	(*.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
14.0ms	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

Compiler

Compiled 6073 to 995 computations (83.6% saved)

series1.7s (16%)

Error

Counts

4 → 80

Calls

4 calls:

502.0ms	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
490.0ms	(*.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
314.0ms	(.f64 (.f64 y (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))) (sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))))
235.0ms	(sqrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

Compiler

Compiled 7231 to 4428 computations (38.8% saved)

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5045	6136

prune285.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	270	5	275

Error

Counts

275 → 5

Compiler

Compiled 7548 to 1339 computations (82.3% saved)

regimes904.0ms (8.7%)

Accuracy

Total 0.7b remaining (99.6%)

Threshold costs 0.7b (99.6%)

Compiler

Compiled 6525 to 4873 computations (25.3% saved)

bsearch55.0ms (0.5%)

Steps

Iters	Range		Point
9	1.266632200543142e+62	1.7000261694410616e+67	4.6416593455394884e+64
9	-2.1792895799536378e-20	-7.059959995225253e-29	-2.1742114105338213e-25

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	90	78
1	90	78

end0.0ms (0%)

sample1.6s (15.4%)

Algorithm

1×

intervals

Results

350.0ms	7998×	body	128	valid
28.0ms	701×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 836 to 621 computations (25.7% saved)

Details

analyze1.1s (10.8%)

sample36.0ms (0.3%)

simplify266.0ms (2.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite151.0ms (1.5%)

series1.1s (10.2%)

simplify101.0ms (1%)

prune162.0ms (1.6%)

localize8.0ms (0.1%)

rewrite105.0ms (1%)

series918.0ms (8.8%)

simplify79.0ms (0.8%)

prune109.0ms (1%)

localize8.0ms (0.1%)

rewrite116.0ms (1.1%)

series929.0ms (8.9%)

simplify89.0ms (0.9%)

prune141.0ms (1.4%)

localize12.0ms (0.1%)

rewrite327.0ms (3.1%)

series1.7s (16%)

simplify147.0ms (1.4%)

prune285.0ms (2.7%)

regimes904.0ms (8.7%)

bsearch55.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.6s (15.4%)

Profiling