Details

analyze472.0ms (3.4%)

Algorithm

1×

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%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 9 to 9 computations (0% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	79×	body	128	nan
1.0ms	23×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify175.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

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

Merged error: 17.2b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.6b	(/.f64 A (*.f64 V l))
15.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1133`
15×	`sqrt-prod_binary64_1127`
11×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
10×	`add-cbrt-cube_binary64_1147` `associate-r_binary64_1051` `add-exp-log_binary64_1149`
9×	`times-frac_binary64_1117`
6×	`pow1_binary64_1172`
3×	`div-inv_binary64_1108` `associate-/l_binary64_1056` `associate-l*_binary64_1052` `add-log-exp_binary64_1150`
2×	`prod-exp_binary64_1160` `sqrt-div_binary64_1128` `cbrt-unprod_binary64_1144` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `unswap-sqr_binary64_1079`
1×	`pow1/2_binary64_1191` `-commutative_binary64_1042` `rem-sqrt-square_binary64_1124` `associate-/r_binary64_1055` `frac-2neg_binary64_1122` `pow-prod-down_binary64_1182` `sqrt-pow1_binary64_1129` `clear-num_binary64_1110` `associate-*r/_binary64_1053`

Counts

3 → 66

Calls

3 calls:

9.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series199.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
61.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
37.0ms	(/.f64 A (*.f64 V l))

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4937	857
1	4937	857

prune646.0ms (4.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	15	76

Merged error: 6.3b

Counts

76 → 15

Compiler

Compiled 6480 to 4713 computations (27.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
1.7b	(/.f64 V (/.f64 (cbrt.f64 A) l))
2.6b	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
15.3b	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

rewrite179.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

849×	`times-frac_binary64_1117`
358×	`add-sqr-sqrt_binary64_1133`
331×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
157×	`sqrt-prod_binary64_1127`
146×	`cbrt-prod_binary64_1142`
93×	`associate-/r*_binary64_1055`
79×	`associate-r_binary64_1051`
32×	`add-exp-log_binary64_1149`
24×	`div-inv_binary64_1108`
23×	`add-cbrt-cube_binary64_1147`
15×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
8×	`associate-/r/_binary64_1057`
7×	`pow1_binary64_1172`
6×	`unswap-sqr_binary64_1079`
5×	`rem-sqrt-square_binary64_1124`
4×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `associate-/l*_binary64_1056` `add-log-exp_binary64_1150`
3×	`associate-l_binary64_1052`
2×	`sqrt-div_binary64_1128` `frac-2neg_binary64_1122` `clear-num_binary64_1110`
1×	`pow1/2_binary64_1191` `-commutative_binary64_1042` `pow-prod-down_binary64_1182` `sqrt-pow1_binary64_1129` `associate-r/_binary64_1053`

Counts

4 → 463

Calls

4 calls:

41.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
22.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
22.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
12.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))

series459.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
141.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
89.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
82.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))

simplify172.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4952	12244
1	4952	12244

prune910.0ms (6.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	465	10	475
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	471	19	490

Merged error: 1.9b

Counts

490 → 19

Compiler

Compiled 19379 to 8023 computations (58.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.8b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
1.9b	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))
4.1b	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1133` `add-exp-log_binary64_1149`
13×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
12×	`times-frac_binary64_1117` `cbrt-prod_binary64_1142`
11×	`add-cbrt-cube_binary64_1147`
10×	`pow1_binary64_1172` `sqrt-prod_binary64_1127`
6×	`associate-/l*_binary64_1056`
4×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `add-log-exp_binary64_1150`
3×	`pow-prod-down_binary64_1182` `associate-l_binary64_1052`
2×	`sqrt-div_binary64_1128` `div-inv_binary64_1108` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `associate-*r/_binary64_1053`
1×	`pow1/2_binary64_1191` `-commutative_binary64_1042` `rem-sqrt-square_binary64_1124` `pow1/3_binary64_1193` `associate-/r_binary64_1055` `frac-2neg_binary64_1122` `associate-r_binary64_1051` `sqrt-pow1_binary64_1129` `clear-num_binary64_1110`

Counts

4 → 78

Calls

4 calls:

11.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
8.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))
6.0ms	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))
1.0ms	(cbrt.f64 A)

series953.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

402.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
259.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))
160.0ms	(cbrt.f64 A)
131.0ms	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4962	1582
1	4962	1582

prune598.0ms (4.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	84	25	109

Merged error: 1.0b

Counts

109 → 25

Compiler

Compiled 11091 to 6573 computations (40.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.8b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))))
1.5b	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V))))
4.1b	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))

rewrite790.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Rules

4498×	`times-frac_binary64_1117`
2575×	`cbrt-prod_binary64_1142`
1947×	`add-sqr-sqrt_binary64_1133`
1896×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
721×	`sqrt-prod_binary64_1127`
179×	`associate-/r*_binary64_1055`
38×	`div-inv_binary64_1108`
18×	`add-exp-log_binary64_1149`
17×	`rem-sqrt-square_binary64_1124`
13×	`add-cbrt-cube_binary64_1147`
11×	`associate-/r/_binary64_1057`
10×	`pow1_binary64_1172`
6×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
4×	`associate-/l*_binary64_1056` `add-log-exp_binary64_1150`
3×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `associate-l_binary64_1052`
2×	`sqrt-div_binary64_1128` `associate-*r/_binary64_1053`
1×	`pow1/2_binary64_1191` `-commutative_binary64_1042` `pow1/3_binary64_1193` `frac-2neg_binary64_1122` `associate-r*_binary64_1051` `sqrt-pow1_binary64_1129` `clear-num_binary64_1110`

Counts

4 → 1694

Calls

4 calls:

122.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))))
112.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))
58.0ms	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V))))
1.0ms	(cbrt.f64 A)

series949.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

398.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))))
264.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V)))))
150.0ms	(cbrt.f64 A)
136.0ms	(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))) (/.f64 l (/.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 V))))

simplify806.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1706 → 1706

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4970	87038
1	4970	87038

prune4.6s (33.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1701	5	1706
Fresh	5	19	24
Picked	1	0	1
Done	0	0	0
Total	1707	24	1731

Merged error: 0.5b

Counts

1731 → 24

Compiler

Compiled 85888 to 31749 computations (63% saved)

regimes378.0ms (2.7%)

Compiler: Compiled 3961 to 2595 computations (34.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	58
1	26	58

end0.0ms (0%)

sample1.2s (8.9%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
103.0ms	2881×	body	128	nan
32.0ms	868×	body	128	invalid

Compiler

Compiled 582 to 375 computations (35.6% saved)

Details

analyze472.0ms (3.4%)

sample24.0ms (0.2%)

simplify175.0ms (1.3%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite23.0ms (0.2%)

series199.0ms (1.4%)

simplify87.0ms (0.6%)

prune646.0ms (4.7%)

localize10.0ms (0.1%)

rewrite179.0ms (1.3%)

series459.0ms (3.3%)

simplify172.0ms (1.2%)

prune910.0ms (6.6%)

localize13.0ms (0.1%)

rewrite34.0ms (0.2%)

series953.0ms (6.9%)

simplify67.0ms (0.5%)

prune598.0ms (4.3%)

localize18.0ms (0.1%)

rewrite790.0ms (5.7%)

series949.0ms (6.9%)

simplify806.0ms (5.8%)

prune4.6s (33.3%)

regimes378.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (8.9%)

Profiling