Details

analyze1.3s (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5273	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample30.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	220×	body	128	valid
2.0ms	12×	body	1024	valid
1.0ms	38×	body	128	invalid
1.0ms	12×	body	512	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4915	19
1	4915	19

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

21.9b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
1.5b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
15.5b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite179.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

9.0b

Rules

19×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
13×	`flip3--_binary64_16791` `flip--_binary64_16762`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
9×	`add-cube-cbrt_binary64_16822`
8×	`frac-times_binary64_16797` `associate-/l/_binary64_16734`
6×	`cancel-sign-sub-inv_binary64_16753`
5×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `times-frac_binary64_16793` `associate-/r_binary64_16731` `associate-l_binary64_16728` `associate-r*_binary64_16727`
4×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `associate-/r/_binary64_16733` `sub-neg_binary64_16780`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `+-commutative_binary64_16717` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `-commutative_binary64_16718`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
10.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1882 to 429 computations (77.2% saved)

series2.7s (7.2%)

Error

0.4b

Counts

3 → 100

Calls

3 calls:

1.5s	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
842.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
296.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

Compiler

Compiled 6685 to 3797 computations (43.2% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5330	5945

prune227.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	178	7	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	7	186

Error

0.3b

Counts

186 → 7

Compiler

Compiled 3274 to 810 computations (75.3% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.5b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
2.5b	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite447.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

330×	`times-frac_binary64_16793`
323×	`*-un-lft-identity_binary64_16787`
321×	`add-sqr-sqrt_binary64_16809`
113×	`add-cube-cbrt_binary64_16822`
104×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
36×	`associate-/r*_binary64_16731`
15×	`associate-/r/_binary64_16733`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `associate-/l*_binary64_16732`
9×	`flip3--_binary64_16791` `flip--_binary64_16762`
8×	`div-inv_binary64_16784`
5×	`add-log-exp_binary64_16826`
4×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-/l/_binary64_16734`
3×	`pow1_binary64_16848` `div-sub_binary64_16792`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786`
1×	`sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738` `associate-+r-_binary64_16721` `+-commutative_binary64_16717`

Counts

3 → 274

Calls

3 calls:

52.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
18.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 5101 to 916 computations (82% saved)

series2.8s (7.3%)

Error

0.3b

Counts

3 → 104

Calls

3 calls:

1.5s	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
839.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))
291.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 7405 to 4248 computations (42.6% saved)

simplify144.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5832	13336

prune438.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	374	4	378
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	377	8	385

Error

0.3b

Counts

385 → 8

Compiler

Compiled 6852 to 1333 computations (80.5% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.5b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
2.3b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite451.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

78×	`add-sqr-sqrt_binary64_16809`
73×	`*-un-lft-identity_binary64_16787`
51×	`times-frac_binary64_16793`
31×	`associate-r_binary64_16727`
27×	`add-cube-cbrt_binary64_16822`
23×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `flip3--_binary64_16791` `flip--_binary64_16762` `associate-l_binary64_16728` `associate-/l_binary64_16732` `associate-/r_binary64_16731`
4×	`associate-/r/_binary64_16733`
2×	`div-exp_binary64_16838` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `cbrt-undiv_binary64_16821` `frac-times_binary64_16797` `unswap-sqr_binary64_16755` `associate-*l/_binary64_16730` `div-inv_binary64_16784` `associate-/l/_binary64_16734`
1×	`pow-prod-down_binary64_16858` `associate-r/_binary64_16729` `-commutative_binary64_16718` `sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `+-commutative_binary64_16717` `frac-2neg_binary64_16798` `div-sub_binary64_16792` `clear-num_binary64_16786`

Counts

3 → 119

Calls

3 calls:

22.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2307 to 458 computations (80.1% saved)

series2.7s (7.1%)

Error

0.3b

Counts

3 → 101

Calls

3 calls:

1.5s	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
823.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
258.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 7155 to 4078 computations (43% saved)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5021	6933

prune277.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	220	8	228

Error

0.3b

Counts

228 → 8

Compiler

Compiled 4101 to 934 computations (77.2% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
1.0b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t))))
1.7b	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))
6.6b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))))

rewrite1.1s (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

927×	`times-frac_binary64_16793`
798×	`add-sqr-sqrt_binary64_16809`
787×	`*-un-lft-identity_binary64_16787`
322×	`cbrt-prod_binary64_16818`
319×	`add-cube-cbrt_binary64_16822`
253×	`associate-r_binary64_16727`
234×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
36×	`associate-/r/_binary64_16733`
31×	`flip3--_binary64_16791` `flip--_binary64_16762` `associate-/r*_binary64_16731`
30×	`add-exp-log_binary64_16825`
28×	`cbrt-div_binary64_16819`
19×	`div-inv_binary64_16784`
18×	`add-cbrt-cube_binary64_16823`
16×	`frac-times_binary64_16797`
12×	`associate-*l/_binary64_16730`
9×	`pow1_binary64_16848` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
8×	`associate-/l*_binary64_16732`
6×	`add-log-exp_binary64_16826`
5×	`associate-*r/_binary64_16729` `unswap-sqr_binary64_16755`
3×	`pow-prod-down_binary64_16858`
2×	`associate-/l/_binary64_16734`
1×	`sum-log_binary64_16878` `flip3-+_binary64_16790` `flip-+_binary64_16761` `+-commutative_binary64_16717` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-l_binary64_16728` `*-commutative_binary64_16718` `pow1/3_binary64_16869`

Counts

4 → 628

Calls

4 calls:

81.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t))))
20.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))
4.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 17995 to 2398 computations (86.7% saved)

series4.0s (10.6%)

Error

0.3b

Counts

4 → 115

Calls

4 calls:

1.7s	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))))
1.1s	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t)))
934.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (-.f64 a t) (-.f64 z t))))
118.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 10100 to 5741 computations (43.2% saved)

simplify288.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

743 → 743

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4970	26462
1	4970	26462

prune887.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	741	2	743
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	743	8	751

Error

0.3b

Counts

751 → 8

Compiler

Compiled 17629 to 2915 computations (83.5% saved)

regimes18.7s (49.1%)

Accuracy

Total 5.6b remaining (84.9%)

Threshold costs 0b (0%)

Compiler

Compiled 109457 to 71528 computations (34.7% saved)

bsearch40.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	162
1	140	162

end4.0ms (0%)

Compiler: Compiled 107 to 43 computations (59.8% saved)

sample1.1s (2.9%)

Algorithm

1×

intervals

Results

277.0ms	6691×	body	128	valid
57.0ms	490×	body	512	valid
55.0ms	384×	body	1024	valid
49.0ms	1178×	body	128	invalid
32.0ms	376×	body	256	valid
10.0ms	59×	body	2048	valid

Compiler

Compiled 318 to 206 computations (35.2% saved)

Details

analyze1.3s (3.3%)

sample30.0ms (0.1%)

simplify89.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0%)

rewrite179.0ms (0.5%)

series2.7s (7.2%)

simplify86.0ms (0.2%)

prune227.0ms (0.6%)

localize10.0ms (0%)

rewrite447.0ms (1.2%)

series2.8s (7.3%)

simplify144.0ms (0.4%)

prune438.0ms (1.2%)

localize10.0ms (0%)

rewrite451.0ms (1.2%)

series2.7s (7.1%)

simplify72.0ms (0.2%)

prune277.0ms (0.7%)

localize16.0ms (0%)

rewrite1.1s (2.8%)

series4.0s (10.6%)

simplify288.0ms (0.8%)

prune887.0ms (2.3%)

regimes18.7s (49.1%)

bsearch40.0ms (0.1%)

simplify5.0ms (0%)

end4.0ms (0%)

sample1.1s (2.9%)

Profiling