Details

analyze487.0ms (2.8%)

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)

sample23.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	78×	body	128	nan
1.0ms	24×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify98.0ms (0.6%)

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

Error

17.8b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

1.4b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.3b	(/.f64 A (*.f64 V l))
14.1b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.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)))

series314.0ms (1.8%)

Counts

3 → 30

Calls

3 calls:

146.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
102.0ms	(/.f64 A (*.f64 V l))
66.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune90.0ms (0.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	79	17	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	17	97

Error

6.2b

Counts

97 → 17

Compiler

Compiled 1319 to 408 computations (69.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
2.1b	(/.f64 V (/.f64 (cbrt.f64 A) l))
2.9b	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
14.1b	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

rewrite153.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

849×	`times-frac_binary64_1107`
358×	`add-sqr-sqrt_binary64_1123`
331×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
157×	`sqrt-prod_binary64_1117`
146×	`cbrt-prod_binary64_1132`
93×	`associate-/r*_binary64_1045`
79×	`associate-r_binary64_1041`
32×	`add-exp-log_binary64_1139`
24×	`div-inv_binary64_1098`
23×	`add-cbrt-cube_binary64_1137`
15×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
8×	`associate-/r/_binary64_1047`
7×	`pow1_binary64_1162`
6×	`unswap-sqr_binary64_1069`
5×	`rem-sqrt-square_binary64_1114`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `associate-/l*_binary64_1046`
3×	`associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `sqrt-pow1_binary64_1119` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

4 → 463

Calls

4 calls:

39.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
19.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
19.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
8.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))

series796.0ms (4.5%)

Counts

4 → 39

Calls

4 calls:

371.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
164.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
130.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
130.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))

Compiler

Compiled 1148 to 1029 computations (10.4% saved)

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

502 → 502

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5109	11956

prune470.0ms (2.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	489	13	502
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	498	21	519

Error

2.6b

Counts

519 → 21

Compiler

Compiled 11821 to 2958 computations (75% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
1.4b	(*.f64 c0 (/.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))))
2.1b	(/.f64 V (/.f64 (cbrt.f64 A) l))
14.6b	(sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))

rewrite163.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

855×	`times-frac_binary64_1107`
438×	`add-sqr-sqrt_binary64_1123`
407×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
288×	`sqrt-prod_binary64_1117`
227×	`associate-r_binary64_1041`
149×	`cbrt-prod_binary64_1132`
22×	`div-inv_binary64_1098` `associate-/r*_binary64_1045`
14×	`add-exp-log_binary64_1139`
13×	`add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`associate-/r/_binary64_1047` `unswap-sqr_binary64_1069`
4×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `pow1/3_binary64_1183` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

4 → 452

Calls

4 calls:

70.0ms	(*.f64 c0 (/.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))))
11.0ms	(sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))
7.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
1.0ms	(cbrt.f64 A)

series1.2s (6.5%)

Counts

4 → 33

Calls

4 calls:

459.0ms	(*.f64 c0 (/.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))))
369.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
221.0ms	(sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l)))
101.0ms	(cbrt.f64 A)

Compiler

Compiled 1284 to 1178 computations (8.3% saved)

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

485 → 485

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5200	12015

prune518.0ms (2.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	469	16	485
Fresh	14	6	20
Picked	1	0	1
Done	0	0	0
Total	484	22	506

Error

0.0b

Counts

506 → 22

Compiler

Compiled 13007 to 2896 computations (77.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)
0.8b	(.f64 (.f64 c0 (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l))))))) (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l))))))
2.3b	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l)))))

rewrite807.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

4247×	`times-frac_binary64_1107`
2229×	`sqrt-prod_binary64_1117`
2027×	`cbrt-prod_binary64_1132`
1903×	`add-sqr-sqrt_binary64_1123`
1900×	`*-un-lft-identity_binary64_1101`
1899×	`add-cube-cbrt_binary64_1136`
1493×	`associate-r_binary64_1041`
45×	`div-inv_binary64_1098`
25×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow1_binary64_1162`
8×	`associate-/r/_binary64_1047`
5×	`rem-sqrt-square_binary64_1114` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140`
3×	`associate-*r/_binary64_1043` `pow-prod-down_binary64_1172`
2×	`pow1/3_binary64_1183` `sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `frac-times_binary64_1111` `sqrt-pow1_binary64_1119` `associate-l_binary64_1042` `associate-l/_binary64_1044` `pow1/2_binary64_1181`

Counts

4 → 1571

Calls

4 calls:

325.0ms	(.f64 (.f64 c0 (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l))))))) (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l))))))
10.0ms	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l)))))
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)

series915.0ms (5.2%)

Counts

4 → 24

Calls

4 calls:

503.0ms	(.f64 (.f64 c0 (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l))))))) (/.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l))))))
227.0ms	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (/.f64 (cbrt.f64 1) (.f64 (cbrt.f64 l) (cbrt.f64 l)))))
94.0ms	(cbrt.f64 A)
92.0ms	(cbrt.f64 A)

Compiler

Compiled 1436 to 1140 computations (20.6% saved)

simplify765.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1595 → 1595

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6210	107849

prune3.7s (21.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1590	5	1595
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	1593	24	1617

Error

0.0b

Counts

1617 → 24

Compiler

Compiled 90893 to 19191 computations (78.9% saved)

regimes2.8s (15.9%)

Accuracy

Total 1.6b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 36168 to 22851 computations (36.8% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 5 to 6 computations (-20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	141
1	47	141

end0.0ms (0%)

sample3.9s (22.2%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
104.0ms	2932×	body	128	nan
32.0ms	873×	body	128	invalid

Compiler

Compiled 4515 to 2832 computations (37.3% saved)

Details

analyze487.0ms (2.8%)

sample23.0ms (0.1%)

simplify98.0ms (0.6%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite21.0ms (0.1%)

series314.0ms (1.8%)

simplify76.0ms (0.4%)

prune90.0ms (0.5%)

localize10.0ms (0.1%)

rewrite153.0ms (0.9%)

series796.0ms (4.5%)

simplify128.0ms (0.7%)

prune470.0ms (2.7%)

localize10.0ms (0.1%)

rewrite163.0ms (0.9%)

series1.2s (6.5%)

simplify129.0ms (0.7%)

prune518.0ms (2.9%)

localize25.0ms (0.1%)

rewrite807.0ms (4.6%)

series915.0ms (5.2%)

simplify765.0ms (4.3%)

prune3.7s (21.2%)

regimes2.8s (15.9%)

bsearch11.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (22.2%)

Profiling