Details

analyze240.0ms (4.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
50%	25%	25%	4
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14
50.5%	0.9%	48.6%	14

Compiler

Compiled 28 to 16 computations (42.9% saved)

sample478.0ms (8.5%)

Algorithm

2×

intervals

Results

62.0ms	231×	body	1024	valid
17.0ms	120×	body	512	valid
17.0ms	483×	body	128	overflowed
9.0ms	33×	body	2048	valid
6.0ms	72×	body	256	valid
2.0ms	56×	body	128	valid

Compiler

Compiled 7041 to 4525 computations (35.7% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune3.0ms (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

57.3b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite119.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`*-un-lft-identity_binary64_1101`
31×	`add-sqr-sqrt_binary64_1123`
30×	`times-frac_binary64_1107`
17×	`add-cube-cbrt_binary64_1136`
8×	`cosh-undef_binary64_1295` `distribute-lft-out_binary64_1052`
7×	`sinh-undef_binary64_1294` `add-log-exp_binary64_1140` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`
6×	`associate-/l*_binary64_1046`
5×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `associate-/l/_binary64_1048` `flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `tanh-undef_binary64_1296` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `div-inv_binary64_1098` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

3 → 89

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series202.0ms (3.6%)

Error

0.7b

Counts

3 → 18

Calls

3 calls:

104.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
42.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
34.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5039	2484

prune111.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 2112 to 423 computations (80% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1×	`tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series101.0ms (1.8%)

Error

Counts

1 → 6

Calls

1 calls:

96.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune14.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Error

Counts

20 → 4

Compiler

Compiled 148 to 92 computations (37.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
0.1b	(*.f64 (pow.f64 x 7) 17/315)
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite247.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_1123`
19×	`add-exp-log_binary64_1139`
18×	`associate-r_binary64_1041`
17×	`-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
16×	`add-log-exp_binary64_1140`
15×	`add-cube-cbrt_binary64_1136`
12×	`unpow-prod-down_binary64_1180`
10×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
9×	`prod-exp_binary64_1150`
6×	`sqr-pow_binary64_1073`
4×	`pow1_binary64_1162` `cube-prod_binary64_1129` `sum-log_binary64_1192` `diff-log_binary64_1193` `flip3-+_binary64_1104` `frac-sub_binary64_1110` `flip-+_binary64_1075`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `cancel-sign-sub-inv_binary64_1067`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `associate--l+_binary64_1038` `associate--r+_binary64_1037`

Counts

4 → 106

Calls

4 calls:

11.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 (pow.f64 x 7) 17/315)
5.0ms	(*.f64 (pow.f64 x 5) 2/15)

Compiler

Compiled 3201 to 2555 computations (20.2% saved)

series271.0ms (4.8%)

Error

Counts

4 → 17

Calls

4 calls:

77.0ms	(*.f64 (pow.f64 x 7) 17/315)
72.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
57.0ms	(*.f64 (pow.f64 x 5) 2/15)
50.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 691 to 574 computations (16.9% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5017	2213

prune211.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 3110 to 2461 computations (20.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (tanh.f64 x))
0.0b	(tanh.f64 x)
0.0b	(tanh.f64 x)
0.2b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

rewrite99.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_1123`
27×	`sqrt-div_binary64_1118`
21×	`sqrt-prod_binary64_1117`
20×	`pow1_binary64_1162`
13×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288`
9×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `frac-times_binary64_1111`
8×	`swap-sqr_binary64_1068`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042` `associate-r_binary64_1041`
5×	`pow-prod-up_binary64_1171`
4×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069`
3×	`pow-prod-down_binary64_1172` `rem-sqrt-square_binary64_1114` `pow-sqr_binary64_1074` `associate-l/_binary64_1044` `associate-r/_binary64_1043`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `sqrt-unprod_binary64_1121` `sqr-abs_binary64_1116` `rem-square-sqrt_binary64_1113` `*-commutative_binary64_1032`

Counts

4 → 101

Calls

4 calls:

9.0ms	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
2.0ms	(sqrt.f64 (tanh.f64 x))
1.0ms	(tanh.f64 x)
1.0ms	(tanh.f64 x)

Compiler

Compiled 1511 to 525 computations (65.3% saved)

series364.0ms (6.5%)

Error

Counts

4 → 21

Calls

4 calls:

95.0ms	(tanh.f64 x)
85.0ms	(sqrt.f64 (tanh.f64 x))
83.0ms	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
81.0ms	(tanh.f64 x)

Compiler

Compiled 751 to 603 computations (19.7% saved)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4969	1346
1	4969	1346

prune90.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 1356 to 569 computations (58% saved)

regimes101.0ms (1.8%)

Accuracy

Total 0.0b remaining (99%)

Threshold costs 0.0b (99%)

Compiler

Compiled 823 to 577 computations (29.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.6s (46.4%)

Algorithm

1×

intervals

Results

1.0s	3864×	body	1024	valid
273.0ms	1936×	body	512	valid
241.0ms	7492×	body	128	overflowed
127.0ms	422×	body	2048	valid
88.0ms	982×	body	256	valid
33.0ms	796×	body	128	valid

Compiler

Compiled 372 to 272 computations (26.9% saved)

Details

analyze240.0ms (4.3%)

sample478.0ms (8.5%)

simplify68.0ms (1.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite119.0ms (2.1%)

series202.0ms (3.6%)

simplify80.0ms (1.4%)

prune111.0ms (2%)

localize2.0ms (0%)

rewrite9.0ms (0.2%)

series101.0ms (1.8%)

simplify36.0ms (0.6%)

prune14.0ms (0.3%)

localize13.0ms (0.2%)

rewrite247.0ms (4.4%)

series271.0ms (4.8%)

simplify92.0ms (1.6%)

prune211.0ms (3.8%)

localize6.0ms (0.1%)

rewrite99.0ms (1.8%)

series364.0ms (6.5%)

simplify48.0ms (0.9%)

prune90.0ms (1.6%)

regimes101.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (46.4%)

Profiling