Details

analyze490.0ms (11.3%)

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)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	92×	body	128	nan
1.0ms	24×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune2.0ms (0.1%)

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

20.8b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.1b	(/.f64 A (*.f64 V l))
19.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite20.0ms (0.5%)

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

series106.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
37.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
20.0ms	(/.f64 A (*.f64 V l))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4793	857
1	4793	857

prune79.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	61	14	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	14	76

Error

7.0b

Counts

76 → 14

Compiler

Compiled 1069 to 361 computations (66.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
3.6b	(*.f64 (/.f64 1 V) (/.f64 A l))
19.4b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_1123`
27×	`add-exp-log_binary64_1139`
25×	`times-frac_binary64_1107`
21×	`*-un-lft-identity_binary64_1101`
19×	`add-cube-cbrt_binary64_1136`
17×	`add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
16×	`associate-l_binary64_1042`
10×	`pow1_binary64_1162`
9×	`prod-exp_binary64_1150`
8×	`div-exp_binary64_1152`
7×	`unswap-sqr_binary64_1069`
6×	`associate-*r/_binary64_1043` `sqrt-div_binary64_1118`
5×	`cbrt-unprod_binary64_1134`
4×	`cbrt-undiv_binary64_1135`
3×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`
2×	`*-commutative_binary64_1032` `1-exp_binary64_1145` `sqrt-pow1_binary64_1119` `sqrt-prod_binary64_1117` `div-inv_binary64_1098` `rec-exp_binary64_1151`
1×	`pow1/2_binary64_1181`

Counts

3 → 92

Calls

3 calls:

12.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
6.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series127.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
48.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))
18.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))

simplify109.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4928	1134
1	4928	1134

prune82.0ms (1.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	98	17	115

Error

4.9b

Counts

115 → 17

Compiler

Compiled 1505 to 607 computations (59.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.1b	(/.f64 A (*.f64 V l))
5.1b	(/.f64 A (*.f64 V l))
21.9b	(cbrt.f64 (/.f64 A (*.f64 V l)))
21.9b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cbrt-prod_binary64_1132`
12×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `times-frac_binary64_1107`
6×	`associate-/l*_binary64_1046`
4×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`cbrt-unprod_binary64_1134` `pow1/3_binary64_1183` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045` `cbrt-div_binary64_1133`

Counts

4 → 74

Calls

4 calls:

5.0ms	(/.f64 A (*.f64 V l))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
3.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))

series210.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
83.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
22.0ms	(/.f64 A (*.f64 V l))
18.0ms	(/.f64 A (*.f64 V l))

simplify108.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4956	924
1	4956	924

prune75.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	86	17	103

Error

4.9b

Counts

103 → 17

Compiler

Compiled 1942 to 515 computations (73.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.7b	(cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))
19.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`sqrt-prod_binary64_1117`
13×	`add-sqr-sqrt_binary64_1123`
10×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
9×	`times-frac_binary64_1107`
7×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118`
3×	`rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `div-inv_binary64_1098` `pow1/2_binary64_1181`
1×	`pow1/3_binary64_1183` `associate-*l/_binary64_1044` `cbrt-prod_binary64_1132` `cbrt-div_binary64_1133`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series299.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))
35.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
29.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
28.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4948	989
1	4948	989

prune71.0ms (1.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	76	17	93

Error

4.9b

Counts

93 → 17

Compiler

Compiled 2530 to 391 computations (84.5% saved)

regimes816.0ms (18.8%)

Accuracy

Total 7.0b remaining (60.3%)

Threshold costs 0b (0%)

Compiler

Compiled 4657 to 3738 computations (19.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	103
1	48	103

end0.0ms (0%)

sample1.3s (31%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
109.0ms	2992×	body	128	nan
36.0ms	867×	body	128	invalid

Compiler

Compiled 563 to 441 computations (21.7% saved)

Details

analyze490.0ms (11.3%)

sample29.0ms (0.7%)

simplify94.0ms (2.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite20.0ms (0.5%)

series106.0ms (2.5%)

simplify95.0ms (2.2%)

prune79.0ms (1.8%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series127.0ms (2.9%)

simplify109.0ms (2.5%)

prune82.0ms (1.9%)

localize11.0ms (0.3%)

rewrite24.0ms (0.6%)

series210.0ms (4.8%)

simplify108.0ms (2.5%)

prune75.0ms (1.7%)

localize11.0ms (0.3%)

rewrite24.0ms (0.5%)

series299.0ms (6.9%)

simplify63.0ms (1.4%)

prune71.0ms (1.6%)

regimes816.0ms (18.8%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (31%)

Profiling