Details

analyze3.8s (12.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5046	1591
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14
0%	99.6%	0.4%	14

Compiler

Compiled 60 to 48 computations (20% saved)

sample4.6s (15.4%)

Algorithm

2×

intervals

Results

55.0ms	593×	body	128	invalid
41.0ms	512×	body	128	valid

Compiler

Compiled 17609 to 19361 computations (-9.9% saved)

simplify582.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (576.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

prune4.0ms (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

8.5b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
3.3b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
3.8b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite255.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

8.3b

Rules

34×	`associate-*r/_binary64_20139`
19×	`flip3--_binary64_20201` `flip--_binary64_20172`
16×	`add-sqr-sqrt_binary64_20219`
12×	`frac-add_binary64_20205`
11×	`sub-neg_binary64_20190` `cancel-sign-sub-inv_binary64_20163`
10×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232` `*-un-lft-identity_binary64_20197` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146`
9×	`add-log-exp_binary64_20236` `associate-l_binary64_20138` `associate-r_binary64_20137`
8×	`frac-sub_binary64_20206`
6×	`associate-+l+_binary64_20130`
4×	`associate--l+_binary64_20134` `associate-+r+_binary64_20129`
3×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`
2×	`sum-log_binary64_20288`
1×	`diff-log_binary64_20289` `flip3-+_binary64_20200` `flip-+_binary64_20171` `associate-+l-_binary64_20132` `+-commutative_binary64_20127`

Counts

4 → 107

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
9.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

Compiler

Compiled 5754 to 624 computations (89.2% saved)

series3.6s (12%)

Error

0.0b

Counts

4 → 135

Calls

4 calls:

2.2s	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 t i)))) (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
431.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
428.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
423.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 9612 to 5014 computations (47.8% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5276	7913

prune315.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	228	14	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	229	14	243

Error

0.0b

Counts

243 → 14

Compiler

Compiled 9467 to 973 computations (89.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.3b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
7.3b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
7.3b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))

rewrite125.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`associate-*r/_binary64_20139` `add-sqr-sqrt_binary64_20219`
6×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232` `cbrt-div_binary64_20229` `*-un-lft-identity_binary64_20197`
4×	`add-log-exp_binary64_20236` `flip3--_binary64_20201` `flip--_binary64_20172`
3×	`pow1/3_binary64_20279` `cbrt-prod_binary64_20228` `associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`sub-neg_binary64_20190` `distribute-rgt-in_binary64_20147` `cancel-sign-sub-inv_binary64_20163` `distribute-lft-in_binary64_20146`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`

Counts

4 → 57

Calls

4 calls:

6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))

Compiler

Compiled 3519 to 307 computations (91.3% saved)

series2.7s (8.9%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

700.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
688.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
686.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 i y))))
433.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 15741 to 7344 computations (53.3% saved)

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5027	3175

prune279.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	150	14	164

Error

0.0b

Counts

164 → 14

Compiler

Compiled 9159 to 1273 computations (86.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
2.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
3.3b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite191.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`pow1_binary64_20258` `add-exp-log_binary64_20235`
19×	`add-sqr-sqrt_binary64_20219`
15×	`add-cbrt-cube_binary64_20233`
13×	`associate-r_binary64_20137`
11×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `add-cube-cbrt_binary64_20232` `cbrt-unprod_binary64_20230` `*-un-lft-identity_binary64_20197`
10×	`associate-l_binary64_20138`
6×	`associate-*r/_binary64_20139`
4×	`add-log-exp_binary64_20236` `unswap-sqr_binary64_20165` `sub-neg_binary64_20190` `distribute-rgt-in_binary64_20147` `cancel-sign-sub-inv_binary64_20163` `distribute-lft-in_binary64_20146` `flip3--_binary64_20201` `flip--_binary64_20172` `-commutative_binary64_20128` `associate-l/_binary64_20140` `cbrt-prod_binary64_20228`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
7.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 4356 to 512 computations (88.2% saved)

series2.5s (8.2%)

Error

0.0b

Counts

4 → 108

Calls

4 calls:

1.0s	(.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x))
459.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 t a)) (cbrt.f64 x)))
434.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
413.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 9630 to 4821 computations (49.9% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5158	2853

prune261.0ms (0.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	203	15	218

Error

0.0b

Counts

218 → 15

Compiler

Compiled 7997 to 783 computations (90.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.0b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
5.0b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
5.0b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

rewrite147.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_20219`
9×	`add-cube-cbrt_binary64_20232` `cbrt-prod_binary64_20228` `*-un-lft-identity_binary64_20197`
6×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `cbrt-div_binary64_20229`
4×	`add-log-exp_binary64_20236` `flip3--_binary64_20201` `flip--_binary64_20172`
3×	`pow1/3_binary64_20279` `associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`sub-neg_binary64_20190` `distribute-rgt-in_binary64_20147` `cancel-sign-sub-inv_binary64_20163` `distribute-lft-in_binary64_20146` `associate-*r/_binary64_20139`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`

Counts

4 → 63

Calls

4 calls:

6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

Compiler

Compiled 4089 to 424 computations (89.6% saved)

series2.1s (7%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

498.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
495.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
472.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
433.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

Compiler

Compiled 16155 to 7710 computations (52.3% saved)

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4977	3307
1	4977	3307

prune299.0ms (1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	156	15	171

Error

0.0b

Counts

171 → 15

Compiler

Compiled 9618 to 1134 computations (88.2% saved)

regimes3.6s (12%)

Accuracy

Total 5.2b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 38106 to 22758 computations (40.3% saved)

bsearch9.0ms (0%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	1034	225
1	1034	225

end0.0ms (0%)

sample4.3s (14.5%)

Algorithm

1×

intervals

Results

844.0ms	11076×	body	128	invalid
620.0ms	8000×	body	128	valid

Compiler

Compiled 4099 to 2387 computations (41.8% saved)

Details

analyze3.8s (12.5%)

sample4.6s (15.4%)

simplify582.0ms (1.9%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite255.0ms (0.9%)

series3.6s (12%)

simplify81.0ms (0.3%)

prune315.0ms (1.1%)

localize28.0ms (0.1%)

rewrite125.0ms (0.4%)

series2.7s (8.9%)

simplify68.0ms (0.2%)

prune279.0ms (0.9%)

localize28.0ms (0.1%)

rewrite191.0ms (0.6%)

series2.5s (8.2%)

simplify57.0ms (0.2%)

prune261.0ms (0.9%)

localize32.0ms (0.1%)

rewrite147.0ms (0.5%)

series2.1s (7%)

simplify55.0ms (0.2%)

prune299.0ms (1%)

regimes3.6s (12%)

bsearch9.0ms (0%)

simplify38.0ms (0.1%)

end0.0ms (0%)

sample4.3s (14.5%)

Profiling