Details

analyze1.4s (16.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify183.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5141	31

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

27.0b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
2.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
25.3b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_23266`
18×	`add-sqr-sqrt_binary64_23288`
16×	`add-cube-cbrt_binary64_23301`
15×	`times-frac_binary64_23272`
13×	`distribute-lft-out_binary64_23217`
11×	`add-log-exp_binary64_23305`
10×	`associate-*l/_binary64_23209`
8×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
7×	`flip-+_binary64_23240` `flip3-+_binary64_23269`
6×	`pow1_binary64_23327`
5×	`associate-/r*_binary64_23210`
4×	`frac-add_binary64_23274` `associate-l_binary64_23207`
3×	`associate-r_binary64_23206` `associate-/l*_binary64_23211`
2×	`sum-log_binary64_23357` `flip--_binary64_23241` `flip3--_binary64_23270` `associate-/r/_binary64_23212` `associate-/l/_binary64_23213` `diff-log_binary64_23358`
1×	`sub-neg_binary64_23259` `div-sub_binary64_23271` `div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `+-commutative_binary64_23196` `frac-2neg_binary64_23277` `*-commutative_binary64_23197` `clear-num_binary64_23265` `associate--l+_binary64_23203` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `div-inv_binary64_23263` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234` `cancel-sign-sub-inv_binary64_23232`

Counts

4 → 90

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
17.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 x y) z)

series778.0ms (9%)

Counts

4 → 12

Calls

4 calls:

582.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
115.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
59.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
21.0ms	(*.f64 (+.f64 x y) z)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5632	3072

prune116.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	12	103

Error

10.5b

Counts

103 → 12

Compiler

Compiled 3385 to 570 computations (83.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
1.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
2.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
25.3b	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))

rewrite76.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64_23266`
138×	`times-frac_binary64_23272`
72×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
48×	`distribute-lft-out_binary64_23217`
24×	`associate-/r*_binary64_23210`
17×	`add-exp-log_binary64_23304`
11×	`associate-/r/_binary64_23212` `add-cbrt-cube_binary64_23302` `add-log-exp_binary64_23305`
8×	`div-exp_binary64_23317` `associate-/l_binary64_23211` `associate-l/_binary64_23209`
6×	`flip--_binary64_23241` `div-inv_binary64_23263` `flip3--_binary64_23270` `flip-+_binary64_23240` `flip3-+_binary64_23269`
5×	`pow1_binary64_23327`
4×	`cbrt-undiv_binary64_23300` `frac-add_binary64_23274`
2×	`sum-log_binary64_23357` `1-exp_binary64_23310` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `rec-exp_binary64_23316` `associate-/l/_binary64_23213` `diff-log_binary64_23358`
1×	`sub-neg_binary64_23259` `+-commutative_binary64_23196` `inv-pow_binary64_23351` `associate--l+_binary64_23203` `cancel-sign-sub-inv_binary64_23232` `pow-flip_binary64_23340`

Counts

4 → 176

Calls

4 calls:

18.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
16.0ms	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

series870.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

580.0ms	(/.f64 1 (/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
118.0ms	(/.f64 (+.f64 x (+.f64 y t)) (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
115.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
57.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

simplify112.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5070	8712

prune178.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	189	11	200

Error

10.5b

Counts

200 → 11

Compiler

Compiled 7454 to 981 computations (86.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
1.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
2.1b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
24.1b	(/.f64 (/.f64 1 (+.f64 x (+.f64 y t))) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))

rewrite135.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

762×	`times-frac_binary64_23272`
550×	`*-un-lft-identity_binary64_23266`
310×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
144×	`distribute-lft-out_binary64_23217`
79×	`associate-/r/_binary64_23212`
48×	`add-exp-log_binary64_23304`
40×	`div-inv_binary64_23263`
34×	`div-exp_binary64_23317`
24×	`flip--_binary64_23241` `flip3--_binary64_23270` `associate-/l*_binary64_23211`
21×	`flip-+_binary64_23240` `flip3-+_binary64_23269`
18×	`add-cbrt-cube_binary64_23302` `associate-/r*_binary64_23210`
11×	`add-log-exp_binary64_23305`
9×	`1-exp_binary64_23310` `cbrt-undiv_binary64_23300` `rec-exp_binary64_23316`
8×	`associate-*l/_binary64_23209`
5×	`pow1_binary64_23327`
4×	`frac-add_binary64_23274`
2×	`sum-log_binary64_23357` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `diff-log_binary64_23358`
1×	`sub-neg_binary64_23259` `+-commutative_binary64_23196` `inv-pow_binary64_23351` `associate--l+_binary64_23203` `associate-/l/_binary64_23213` `cancel-sign-sub-inv_binary64_23232` `pow-flip_binary64_23340`

Counts

4 → 445

Calls

4 calls:

27.0ms	(/.f64 (/.f64 1 (+.f64 x (+.f64 y t))) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
11.0ms	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

series832.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

574.0ms	(/.f64 (/.f64 1 (+.f64 x (+.f64 y t))) (/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))))
116.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b))
88.0ms	(/.f64 1 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (*.f64 y b)))
54.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))

simplify246.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

457 → 457

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5096	28831

prune539.0ms (6.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	456	1	457
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	458	10	468

Error

10.5b

Counts

468 → 10

Compiler

Compiled 21183 to 3711 computations (82.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 y t) a)
1.4b	(-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b))
1.6b	(+.f64 (.f64 (+.f64 y t) a) (.f64 y z))
21.7b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_23266`
18×	`add-sqr-sqrt_binary64_23288`
16×	`add-cube-cbrt_binary64_23301`
15×	`times-frac_binary64_23272`
13×	`distribute-lft-out_binary64_23217`
11×	`add-log-exp_binary64_23305`
8×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
6×	`pow1_binary64_23327`
5×	`associate-/r*_binary64_23210`
4×	`associate-l_binary64_23207`
3×	`flip-+_binary64_23240` `associate-r_binary64_23206` `associate-/l*_binary64_23211` `flip3-+_binary64_23269`
2×	`sum-log_binary64_23357` `flip--_binary64_23241` `flip3--_binary64_23270` `associate-/r/_binary64_23212` `associate-/l/_binary64_23213` `diff-log_binary64_23358` `associate-*l/_binary64_23209`
1×	`sub-neg_binary64_23259` `div-sub_binary64_23271` `div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `+-commutative_binary64_23196` `frac-2neg_binary64_23277` `*-commutative_binary64_23197` `clear-num_binary64_23265` `associate--l+_binary64_23203` `pow-prod-down_binary64_23337` `cbrt-unprod_binary64_23299` `div-inv_binary64_23263` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234` `cancel-sign-sub-inv_binary64_23232`

Counts

4 → 86

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
9.0ms	(+.f64 (.f64 (+.f64 y t) a) (.f64 y z))
9.0ms	(-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b))
6.0ms	(*.f64 (+.f64 y t) a)

series492.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

376.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
63.0ms	(-.f64 (+.f64 (.f64 (+.f64 y t) a) (.f64 y z)) (*.f64 y b))
32.0ms	(+.f64 (.f64 (+.f64 y t) a) (.f64 y z))
21.0ms	(*.f64 (+.f64 y t) a)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5064	2326

prune76.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	4	6
Picked	1	0	1
Done	0	3	3
Total	97	11	108

Error

10.5b

Counts

108 → 11

Compiler

Compiled 2545 to 350 computations (86.2% saved)

regimes803.0ms (9.3%)

Accuracy

Total 9.7b remaining (53.1%)

Threshold costs 0b (0%)

Compiler

Compiled 7643 to 4884 computations (36.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	105
1	61	105

end0.0ms (0%)

sample1.4s (16.3%)

Algorithm

1×

intervals

Results

450.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 1249 to 747 computations (40.2% saved)

Details

analyze1.4s (16.5%)

sample26.0ms (0.3%)

simplify183.0ms (2.1%)

prune2.0ms (0%)

localize14.0ms (0.2%)

rewrite58.0ms (0.7%)

series778.0ms (9%)

simplify72.0ms (0.8%)

prune116.0ms (1.4%)

localize18.0ms (0.2%)

rewrite76.0ms (0.9%)

series870.0ms (10.1%)

simplify112.0ms (1.3%)

prune178.0ms (2.1%)

localize19.0ms (0.2%)

rewrite135.0ms (1.6%)

series832.0ms (9.7%)

simplify246.0ms (2.9%)

prune539.0ms (6.3%)

localize13.0ms (0.1%)

rewrite46.0ms (0.5%)

series492.0ms (5.7%)

simplify75.0ms (0.9%)

prune76.0ms (0.9%)

regimes803.0ms (9.3%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (16.3%)

Profiling