Details

analyze517.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	1161	52
0	3	3
1	3	3

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)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify35.0ms (0.6%)

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

3.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
2.9b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

Rules

13×	`add-sqr-sqrt_binary64_22947`
9×	`-un-lft-identity_binary64_22925` `associate-l*_binary64_22866`
6×	`pow1_binary64_22986` `add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961` `add-cube-cbrt_binary64_22960` `associate-r_binary64_22865`
2×	`pow-prod-down_binary64_22996` `prod-exp_binary64_22974` `add-log-exp_binary64_22964` `cbrt-unprod_binary64_22958` `unswap-sqr_binary64_22893` `sub-neg_binary64_22918` `distribute-rgt-in_binary64_22875` `cancel-sign-sub-inv_binary64_22891` `distribute-lft-in_binary64_22874` `flip3--_binary64_22929` `associate-r/_binary64_22867` `flip--_binary64_22900` `-commutative_binary64_22856` `associate-*l/_binary64_22868` `difference-of-squares_binary64_22894`
1×	`distribute-lft-out--_binary64_22877`

Counts

2 → 47

Calls

2 calls:

12.0ms	(*.f64 (-.f64 1 y) z)
7.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 771 to 543 computations (29.6% saved)

series211.0ms (3.5%)

Error

2.9b

Counts

2 → 24

Calls

2 calls:

138.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
60.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 551 to 379 computations (31.2% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	805
1	4957	805

prune68.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Error

2.9b

Counts

72 → 9

Compiler

Compiled 1011 to 554 computations (45.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 z y) z)
2.9b	(.f64 x (-.f64 (.f64 z y) z))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

9×	`add-sqr-sqrt_binary64_22947` `cancel-sign-sub-inv_binary64_22891`
7×	`add-cube-cbrt_binary64_22960` `*-un-lft-identity_binary64_22925`
4×	`pow1_binary64_22986` `add-exp-log_binary64_22963` `add-log-exp_binary64_22964` `add-cbrt-cube_binary64_22961` `distribute-rgt-in_binary64_22875` `distribute-lft-in_binary64_22874`
3×	`sub-neg_binary64_22918` `associate-l_binary64_22866` `associate-r_binary64_22865`
2×	`flip3--_binary64_22929` `associate-*r/_binary64_22867` `flip--_binary64_22900`
1×	`pow-prod-down_binary64_22996` `prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `unswap-sqr_binary64_22893` `*-commutative_binary64_22856` `diff-log_binary64_23017`

Counts

2 → 42

Calls

2 calls:

7.0ms	(.f64 x (-.f64 (.f64 z y) z))
4.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 686 to 188 computations (72.6% saved)

series196.0ms (3.3%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

127.0ms	(.f64 x (-.f64 (.f64 z y) z))
56.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 519 to 324 computations (37.6% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4999	676
1	4999	676

prune44.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	63	9	72

Error

2.9b

Counts

72 → 9

Compiler

Compiled 898 to 254 computations (71.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
2.9b	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))

rewrite231.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

44×	`add-sqr-sqrt_binary64_22947` `cbrt-prod_binary64_22956`
40×	`*-un-lft-identity_binary64_22925`
16×	`add-cube-cbrt_binary64_22960` `cbrt-div_binary64_22957`
13×	`pow1_binary64_22986`
12×	`associate-l_binary64_22866` `associate-r_binary64_22865` `difference-of-squares_binary64_22894`
11×	`swap-sqr_binary64_22892`
9×	`flip3--_binary64_22929` `flip--_binary64_22900`
8×	`add-exp-log_binary64_22963` `pow1/3_binary64_23007` `distribute-lft-out--_binary64_22877`
6×	`add-cbrt-cube_binary64_22961`
5×	`unswap-sqr_binary64_22893`
4×	`add-log-exp_binary64_22964` `associate-*r/_binary64_22867` `frac-times_binary64_22935`
3×	`pow-prod-down_binary64_22996`
2×	`prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `sub-neg_binary64_22918` `distribute-rgt-in_binary64_22875` `cancel-sign-sub-inv_binary64_22891` `distribute-lft-in_binary64_22874` `-commutative_binary64_22856` `pow-prod-up_binary64_22995` `pow-sqr_binary64_22898` `associate-l/_binary64_22868`
1×	`pow2_binary64_23006` `pow-plus_binary64_22988`

Counts

4 → 115

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
7.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 3428 to 2630 computations (23.3% saved)

series278.0ms (4.6%)

Error

2.8b

Counts

4 → 35

Calls

4 calls:

138.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (cbrt.f64 (-.f64 1 y))))))
43.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
33.0ms	(cbrt.f64 (-.f64 1 y))
30.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1451 to 1160 computations (20.1% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4918	2029
1	4918	2029

prune192.0ms (3.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	148	11	159

Error

2.8b

Counts

159 → 11

Compiler

Compiled 3455 to 2501 computations (27.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 y))
0.3b	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
0.3b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
2.9b	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 y))))))))

rewrite342.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

46×	`add-sqr-sqrt_binary64_22947`
44×	`cbrt-prod_binary64_22956`
42×	`*-un-lft-identity_binary64_22925`
18×	`add-cube-cbrt_binary64_22960`
14×	`pow1_binary64_22986` `cbrt-div_binary64_22957`
12×	`associate-l_binary64_22866` `associate-r_binary64_22865` `difference-of-squares_binary64_22894`
11×	`swap-sqr_binary64_22892`
9×	`add-exp-log_binary64_22963` `unpow-prod-down_binary64_23004`
8×	`flip3--_binary64_22929` `flip--_binary64_22900` `pow1/3_binary64_23007` `distribute-lft-out--_binary64_22877`
6×	`add-cbrt-cube_binary64_22961`
5×	`unswap-sqr_binary64_22893`
4×	`add-log-exp_binary64_22964` `associate-*r/_binary64_22867` `frac-times_binary64_22935`
3×	`pow-prod-down_binary64_22996` `pow-unpow_binary64_23002`
2×	`prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `sub-neg_binary64_22918` `distribute-rgt-in_binary64_22875` `cancel-sign-sub-inv_binary64_22891` `distribute-lft-in_binary64_22874` `-commutative_binary64_22856` `pow-prod-up_binary64_22995` `pow-sqr_binary64_22898` `associate-l/_binary64_22868` `pow-pow_binary64_22997`
1×	`pow2_binary64_23006` `pow-plus_binary64_22988` `pow-to-exp_binary64_22994` `pow-exp_binary64_22993` `unpow2_binary64_22990` `sqr-pow_binary64_22897`

Counts

4 → 124

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
7.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 y))))))))
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
4.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 4925 to 3944 computations (19.9% saved)

series354.0ms (5.9%)

Error

2.8b

Counts

4 → 36

Calls

4 calls:

166.0ms	(.f64 x (-.f64 1 (.f64 (.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y))) (.f64 z (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 y))))))))
57.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
54.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 2)
37.0ms	(cbrt.f64 (-.f64 1 y))

Compiler

Compiled 1925 to 1576 computations (18.1% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5015	2598

prune304.0ms (5.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	157	14	171

Error

2.8b

Counts

171 → 14

Compiler

Compiled 4943 to 3884 computations (21.4% saved)

regimes1.2s (19.6%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Compiler

Compiled 8234 to 6954 computations (15.5% saved)

bsearch40.0ms (0.7%)

Steps

Iters	Range		Point
9	7.986701069584652e-45	3.0415943680482137e-37	3.5093842705709426e-44
10	-2.687478714710898e+99	-3.569873042994691e+86	-8.860384044370192e+89

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	393	51
1	393	51

end0.0ms (0%)

sample1.5s (25.5%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
18.0ms	681×	body	128	invalid

Compiler

Compiled 1112 to 916 computations (17.6% saved)

Details

analyze517.0ms (8.6%)

sample18.0ms (0.3%)

simplify35.0ms (0.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite73.0ms (1.2%)

series211.0ms (3.5%)

simplify58.0ms (1%)

prune68.0ms (1.1%)

localize6.0ms (0.1%)

rewrite43.0ms (0.7%)

series196.0ms (3.3%)

simplify67.0ms (1.1%)

prune44.0ms (0.7%)

localize10.0ms (0.2%)

rewrite231.0ms (3.9%)

series278.0ms (4.6%)

simplify81.0ms (1.4%)

prune192.0ms (3.2%)

localize15.0ms (0.3%)

rewrite342.0ms (5.7%)

series354.0ms (5.9%)

simplify90.0ms (1.5%)

prune304.0ms (5.1%)

regimes1.2s (19.6%)

bsearch40.0ms (0.7%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.5s (25.5%)

Profiling