Details

analyze287.0ms (4.6%)

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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify126.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

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

4.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

4.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
0.0b	(*.f64 (-.f64 1 y) z)
0.0b	(*.f64 (-.f64 1 y) z)
0.0b	(-.f64 1 (*.f64 (-.f64 1 y) z))
4.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_23629`
10×	`*-un-lft-identity_binary64_23607`
9×	`associate-l_binary64_23548`
7×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-cube-cbrt_binary64_23642` `add-exp-log_binary64_23645`
6×	`associate-r_binary64_23547`
5×	`add-log-exp_binary64_23646`
3×	`flip--_binary64_23582` `flip3--_binary64_23611` `sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573`
2×	`unswap-sqr_binary64_23575` `difference-of-squares_binary64_23576` `prod-exp_binary64_23656` `-commutative_binary64_23538` `cbrt-unprod_binary64_23640` `distribute-rgt-in_binary64_23557` `associate-l/_binary64_23550` `associate-*r/_binary64_23549` `distribute-lft-in_binary64_23556` `pow-prod-down_binary64_23678`
1×	`diff-log_binary64_23699` `distribute-lft-out--_binary64_23559`

Counts

3 → 59

Calls

6 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
3.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
0.0ms	(*.f64 (-.f64 1 y) z)
0.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series265.0ms (4.3%)

Counts

3 → 36

Calls

3 calls:

144.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
62.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
59.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 491 to 438 computations (10.8% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1081

prune121.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Error

4.1b

Counts

96 → 10

Compiler

Compiled 1290 to 865 computations (32.9% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.1b	(.f64 x (-.f64 (.f64 y z) z))
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
0.0b	(-.f64 (*.f64 y z) z)
0.0b	(-.f64 (*.f64 y z) z)
0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.1b	(.f64 x (-.f64 (.f64 y z) z))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cancel-sign-sub-inv_binary64_23573`
12×	`*-un-lft-identity_binary64_23607` `add-sqr-sqrt_binary64_23629`
10×	`add-cube-cbrt_binary64_23642`
8×	`associate-+r+_binary64_23539` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
7×	`add-log-exp_binary64_23646`
5×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `sub-neg_binary64_23600` `add-exp-log_binary64_23645`
4×	`associate-r_binary64_23547`
3×	`associate-l_binary64_23548`
2×	`flip--_binary64_23582` `flip3--_binary64_23611` `associate-*r/_binary64_23549` `distribute-rgt-out--_binary64_23561`
1×	`unswap-sqr_binary64_23575` `flip-+_binary64_23581` `sum-log_binary64_23698` `diff-log_binary64_23699` `flip3-+_binary64_23610` `prod-exp_binary64_23656` `*-commutative_binary64_23538` `+-commutative_binary64_23537` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`

Counts

3 → 63

Calls

6 calls:

8.0ms	(.f64 x (-.f64 (.f64 y z) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
4.0ms	(-.f64 (*.f64 y z) z)
0.0ms	(-.f64 (*.f64 y z) z)
0.0ms	(.f64 x (-.f64 (.f64 y z) z))

series338.0ms (5.4%)

Counts

3 → 36

Calls

3 calls:

158.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
126.0ms	(.f64 x (-.f64 (.f64 y z) z))
53.0ms	(-.f64 (*.f64 y z) z)

Compiler

Compiled 554 to 452 computations (18.4% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4925	1146
1	4925	1146

prune71.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Error

0.0b

Counts

109 → 6

Compiler

Compiled 1301 to 291 computations (77.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 x z) (-.f64 y 1))
0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
2.7b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_23573`
11×	`add-sqr-sqrt_binary64_23629`
10×	`*-un-lft-identity_binary64_23607`
8×	`associate-+r+_binary64_23539` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`
7×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-cube-cbrt_binary64_23642` `add-exp-log_binary64_23645` `associate-r_binary64_23547`
4×	`add-log-exp_binary64_23646` `sub-neg_binary64_23600`
3×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
2×	`difference-of-squares_binary64_23576` `associate-*r/_binary64_23549`
1×	`flip-+_binary64_23581` `sum-log_binary64_23698` `associate-l_binary64_23548` `flip3-+_binary64_23610` `distribute-lft-out--_binary64_23559` `difference-of-sqr-1_binary64_23577` `flip--_binary64_23582` `*-commutative_binary64_23538` `flip3--_binary64_23611` `+-commutative_binary64_23537`

Counts

2 → 51

Calls

4 calls:

8.0ms	(.f64 (.f64 x z) (-.f64 y 1))
4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
0.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
0.0ms	(.f64 (.f64 x z) (-.f64 y 1))

series285.0ms (4.6%)

Counts

2 → 27

Calls

2 calls:

154.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
131.0ms	(.f64 (.f64 x z) (-.f64 y 1))

Compiler

Compiled 417 to 339 computations (18.7% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5036	954

prune62.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	8	84

Error

0.0b

Counts

84 → 8

Compiler

Compiled 1082 to 526 computations (51.4% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(cbrt.f64 (-.f64 y 1))
0.0b	(+.f64 x (.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1))))
0.3b	(cbrt.f64 (-.f64 y 1))
0.3b	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
0.7b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
2.1b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite80.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64_23639`
54×	`cbrt-prod_binary64_23638`
51×	`add-sqr-sqrt_binary64_23629`
44×	`associate-*r/_binary64_23549`
41×	`*-un-lft-identity_binary64_23607` `pow1_binary64_23668`
40×	`flip--_binary64_23582` `flip3--_binary64_23611`
36×	`frac-times_binary64_23617` `add-exp-log_binary64_23645`
23×	`pow-prod-down_binary64_23678`
22×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640`
21×	`add-cbrt-cube_binary64_23643` `associate-r_binary64_23547`
18×	`associate-*l/_binary64_23550`
15×	`add-cube-cbrt_binary64_23642`
14×	`difference-of-squares_binary64_23576` `swap-sqr_binary64_23574`
12×	`associate-l_binary64_23548`
8×	`distribute-lft-out--_binary64_23559` `difference-of-sqr-1_binary64_23577`
7×	`pow1/3_binary64_23689`
4×	`unswap-sqr_binary64_23575` `add-log-exp_binary64_23646`
3×	`*-commutative_binary64_23538`
2×	`pow-sqr_binary64_23580` `pow-prod-up_binary64_23677`
1×	`pow-plus_binary64_23670` `pow2_binary64_23688`

Counts

4 → 171

Calls

8 calls:

24.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
16.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
14.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
3.0ms	(cbrt.f64 (-.f64 y 1))
0.0ms	(+.f64 x (.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1))))

series949.0ms (15.3%)

Counts

4 → 48

Calls

4 calls:

636.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
175.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
97.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
41.0ms	(cbrt.f64 (-.f64 y 1))

Compiler

Compiled 1473 to 1265 computations (14.1% saved)

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5017	4500

prune303.0ms (4.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	216	11	227

Error

0.0b

Counts

227 → 11

Compiler

Compiled 5358 to 3499 computations (34.7% saved)

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	3061	1063
1	3061	1063

regimes354.0ms (5.7%)

Compiler: Compiled 3092 to 2691 computations (13% saved)

bsearch32.0ms (0.5%)

Steps

Iters	Range		Point
7	2.370409318255173e-38	2.1491720275645306e-36	3.136881405758548e-38
7	-1.7665857859340646e+107	-9.883898029156777e+105	-2.1233612960453473e+106

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes118.0ms (1.9%)

Compiler: Compiled 385 to 441 computations (-14.5% saved)

bsearch30.0ms (0.5%)

Steps

Iters	Range		Point
7	2.370409318255173e-38	2.1491720275645306e-36	5.443626847987299e-37
9	-5.720665962789617e+40	-7.219318902871632e+33	-8.392853027253622e+35

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes80.0ms (1.3%)

Compiler: Compiled 210 to 246 computations (-17.1% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
7	2.370409318255173e-38	2.1491720275645306e-36	5.2549567956787756e-37
8	-3.521160643809935e-16	-8.780563718899101e-20	-6.282820306787024e-17

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes143.0ms (2.3%)

Compiler: Compiled 183 to 222 computations (-21.3% saved)

bsearch23.0ms (0.4%)

Steps

Iters	Range		Point
4	0.007493494241972367	0.01370526432397266	0.013501177578971787
9	-4000405.996115119	-0.7427544069914732	-0.9726678355413415

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes132.0ms (2.1%)

Compiler: Compiled 99 to 144 computations (-45.5% saved)

bsearch51.0ms (0.8%)

Steps

Iters	Range		Point
8	7.946963558612931e-13	4.757308112266468e-08	4.665056350753174e-08
10	-5396168138.288328	-0.0008886093623887712	-0.996931097297141
5	-1.3064433314430082e+193	-3.7244251331238843e+192	-6.862279592571848e+192

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes132.0ms (2.1%)

Compiler: Compiled 78 to 126 computations (-61.5% saved)

bsearch60.0ms (1%)

Steps

Iters	Range		Point
8	3.913152165419104e+116	4.8605585707286756e+120	1.623090438617971e+120
10	-5396168138.288328	-0.0008886093623887712	-5307172302.714934
6	-1.5739733316879106e+48	-3.4897018183458593e+47	-5.242997599206687e+47
8	-1.1533274811107819e+81	-2.387582845316786e+78	-8.698140323986826e+79

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.6%)

Compiler: Compiled 48 to 96 computations (-100% saved)

bsearch0.0ms (0%)

regimes29.0ms (0.5%)

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%)

regimes23.0ms (0.4%)

Accuracy

Total 0.2b remaining (94.6%)

Threshold costs 0.2b (94.6%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch12.0ms (0.2%)

Compiler: Compiled 216 to 138 computations (36.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	267
1	135	267

end0.0ms (0%)

sample1.4s (23.2%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
20.0ms	719×	body	128	invalid

Compiler

Compiled 932 to 772 computations (17.2% saved)

Pareto

0.5753656015122575

Details

analyze287.0ms (4.6%)

sample17.0ms (0.3%)

simplify126.0ms (2%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite21.0ms (0.3%)

series265.0ms (4.3%)

simplify60.0ms (1%)

prune121.0ms (2%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series338.0ms (5.4%)

simplify94.0ms (1.5%)

prune71.0ms (1.1%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series285.0ms (4.6%)

simplify66.0ms (1.1%)

prune62.0ms (1%)

localize15.0ms (0.2%)

rewrite80.0ms (1.3%)

series949.0ms (15.3%)

simplify105.0ms (1.7%)

prune303.0ms (4.9%)

simplify128.0ms (2.1%)

regimes354.0ms (5.7%)

bsearch32.0ms (0.5%)

regimes118.0ms (1.9%)

bsearch30.0ms (0.5%)

regimes80.0ms (1.3%)

bsearch29.0ms (0.5%)

regimes143.0ms (2.3%)

bsearch23.0ms (0.4%)

regimes132.0ms (2.1%)

bsearch51.0ms (0.8%)

regimes132.0ms (2.1%)

bsearch60.0ms (1%)

regimes35.0ms (0.6%)

bsearch0.0ms (0%)

regimes29.0ms (0.5%)

bsearch0.0ms (0%)

regimes26.0ms (0.4%)

bsearch0.0ms (0%)

regimes23.0ms (0.4%)

bsearch12.0ms (0.2%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.4s (23.2%)

Profiling