Details

analyze966.0ms (10%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	154
1	171	154
0	4	4
1	4	4

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
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample40.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
7.0ms	169×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune3.0ms (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

32.6b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
19.7b	(/.f64 (.f64 x x) (.f64 y y))
20.9b	(/.f64 (.f64 z z) (.f64 t t))

rewrite93.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

27×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`prod-exp_binary64_17518` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502`
5×	`add-log-exp_binary64_17508` `*-un-lft-identity_binary64_17469`
3×	`pow1_binary64_17530` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491`
2×	`frac-2neg_binary64_17480` `times-frac_binary64_17475` `clear-num_binary64_17468` `div-inv_binary64_17466` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
1×	`sum-log_binary64_17560` `frac-add_binary64_17477` `flip3-+_binary64_17472` `flip-+_binary64_17443` `distribute-lft-out_binary64_17420` `+-commutative_binary64_17399`

Counts

3 → 55

Calls

3 calls:

11.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

Compiler

Compiled 1304 to 213 computations (83.7% saved)

series600.0ms (6.2%)

Error

28.3b

Counts

3 → 36

Calls

3 calls:

409.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
87.0ms	(/.f64 (.f64 z z) (.f64 t t))
76.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1248 to 1054 computations (15.5% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4968	1257
1	4968	1257

prune81.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

4.4b

Counts

92 → 10

Compiler

Compiled 1622 to 326 computations (79.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))
19.7b	(/.f64 (.f64 x x) (.f64 y y))

rewrite129.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

43×	`add-sqr-sqrt_binary64_17491`
41×	`times-frac_binary64_17475`
31×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
27×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
13×	`swap-sqr_binary64_17436` `associate-l_binary64_17410` `associate-r_binary64_17409`
10×	`pow1_binary64_17530`
8×	`prod-exp_binary64_17518` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `cbrt-unprod_binary64_17502`
5×	`add-log-exp_binary64_17508` `div-inv_binary64_17466`
4×	`unswap-sqr_binary64_17437`
3×	`frac-add_binary64_17477`
2×	`frac-times_binary64_17479` `associate-l/_binary64_17412` `associate-r/_binary64_17411`
1×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/l_binary64_17414` `associate-/r_binary64_17413` `pow2_binary64_17550` `pow-prod-down_binary64_17540` `pow-prod-up_binary64_17539` `pow-plus_binary64_17532` `pow-sqr_binary64_17442` `*-commutative_binary64_17400` `sum-log_binary64_17560` `flip3-+_binary64_17472` `flip-+_binary64_17443` `+-commutative_binary64_17399`

Counts

3 → 102

Calls

3 calls:

10.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
8.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2465 to 425 computations (82.8% saved)

series589.0ms (6.1%)

Error

4.4b

Counts

3 → 36

Calls

3 calls:

404.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
82.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
80.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1248 to 1041 computations (16.6% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5525	1790

prune112.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	129	9	138
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	135	13	148

Error

0.1b

Counts

148 → 13

Compiler

Compiled 2605 to 681 computations (73.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))
0.4b	(*.f64 (/.f64 x y) (/.f64 x y))

rewrite185.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

83×	`add-sqr-sqrt_binary64_17491`
80×	`times-frac_binary64_17475`
59×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
27×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
26×	`swap-sqr_binary64_17436` `associate-l_binary64_17410` `associate-r_binary64_17409`
17×	`pow1_binary64_17530`
9×	`frac-add_binary64_17477`
8×	`div-exp_binary64_17520` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `cbrt-undiv_binary64_17503` `frac-times_binary64_17479` `unswap-sqr_binary64_17437` `div-inv_binary64_17466` `associate-l/_binary64_17412` `associate-r/_binary64_17411`
5×	`add-log-exp_binary64_17508`
2×	`pow2_binary64_17550` `pow-prod-down_binary64_17540` `pow-prod-up_binary64_17539` `pow-plus_binary64_17532` `pow-sqr_binary64_17442` `*-commutative_binary64_17400`
1×	`sum-log_binary64_17560` `flip3-+_binary64_17472` `flip-+_binary64_17443` `+-commutative_binary64_17399`

Counts

3 → 154

Calls

3 calls:

11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
10.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))

Compiler

Compiled 3719 to 652 computations (82.5% saved)

series585.0ms (6.1%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

402.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
80.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
79.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 1248 to 1028 computations (17.6% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5055	2547

prune170.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	179	11	190
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	187	16	203

Error

0.0b

Counts

203 → 16

Compiler

Compiled 3747 to 1008 computations (73.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite89.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_17500`
23×	`add-sqr-sqrt_binary64_17491`
15×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
11×	`pow1_binary64_17530`
9×	`pow1/3_binary64_17551`
6×	`add-exp-log_binary64_17507` `swap-sqr_binary64_17436` `associate-l_binary64_17410` `associate-r_binary64_17409`
4×	`add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505` `unswap-sqr_binary64_17437`
2×	`pow-prod-down_binary64_17540` `pow-prod-up_binary64_17539` `pow-sqr_binary64_17442`
1×	`pow2_binary64_17550` `pow-plus_binary64_17532` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `*-commutative_binary64_17400`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2473 to 393 computations (84.1% saved)

series309.0ms (3.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

86.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
73.0ms	(cbrt.f64 z)
71.0ms	(cbrt.f64 z)
67.0ms	(cbrt.f64 z)

Compiler

Compiled 1131 to 587 computations (48.1% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune79.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	85	16	101

Error

0.0b

Counts

101 → 16

Compiler

Compiled 2678 to 445 computations (83.4% saved)

regimes2.4s (24.7%)

Accuracy

Total 0.4b remaining (97.6%)

Threshold costs 0.4b (97.6%)

Compiler

Compiled 33495 to 20751 computations (38% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	22
1	11	22

end0.0ms (0%)

sample2.8s (29.4%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
241.0ms	5805×	body	128	invalid

Compiler

Compiled 2614 to 1618 computations (38.1% saved)

Details

analyze966.0ms (10%)

sample40.0ms (0.4%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite93.0ms (1%)

series600.0ms (6.2%)

simplify71.0ms (0.7%)

prune81.0ms (0.8%)

localize8.0ms (0.1%)

rewrite129.0ms (1.3%)

series589.0ms (6.1%)

simplify72.0ms (0.8%)

prune112.0ms (1.2%)

localize10.0ms (0.1%)

rewrite185.0ms (1.9%)

series585.0ms (6.1%)

simplify99.0ms (1%)

prune170.0ms (1.8%)

localize17.0ms (0.2%)

rewrite89.0ms (0.9%)

series309.0ms (3.2%)

simplify79.0ms (0.8%)

prune79.0ms (0.8%)

regimes2.4s (24.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (29.4%)

Profiling