Details

analyze174.0ms (4.4%)

Algorithm

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample57.0ms (1.4%)

Algorithm

1×

intervals

Results

31.0ms	119×	body	1024	valid
8.0ms	64×	body	512	valid
4.0ms	14×	body	2048	valid
2.0ms	31×	body	256	valid
1.0ms	28×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

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

56.6b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite107.0ms (2.7%)

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:

12.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(-.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)

series151.0ms (3.8%)

Error

0.5b

Counts

3 → 18

Calls

3 calls:

75.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
30.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
27.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5039	2484

prune89.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 2096 to 422 computations (79.9% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite8.0ms (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)

series62.0ms (1.6%)

Error

Counts

1 → 6

Calls

1 calls:

58.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune12.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	17	3	20

Error

Counts

20 → 3

Compiler

Compiled 145 to 92 computations (36.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
0.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107`
4×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `sinh-def_binary64_1286`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l/_binary64_1048` `cosh-def_binary64_1287` `associate-/r/_binary64_1047`

Counts

2 → 37

Calls

2 calls:

3.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

Compiler

Compiled 426 to 119 computations (72.1% saved)

series146.0ms (3.7%)

Error

Counts

2 → 12

Calls

2 calls:

100.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
38.0ms	(sinh.f64 x)

Compiler

Compiled 337 to 241 computations (28.5% saved)

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4874	615
1	4874	615

prune30.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 527 to 198 computations (62.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite123.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_1123`
15×	`associate-r_binary64_1041`
14×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`associate-l_binary64_1042`
8×	`add-cbrt-cube_binary64_1137` `unpow-prod-down_binary64_1180`
7×	`unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150`
4×	`pow1_binary64_1162` `cube-prod_binary64_1129` `sqr-pow_binary64_1073`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `diff-log_binary64_1193` `sum-log_binary64_1192` `sub-neg_binary64_1094` `associate-+l+_binary64_1034` `cancel-sign-sub-inv_binary64_1067`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l-_binary64_1036` `+-commutative_binary64_1031` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

4 → 83

Calls

4 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series186.0ms (4.7%)

Error

Counts

4 → 17

Calls

4 calls:

61.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
43.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
37.0ms	(*.f64 (pow.f64 x 5) 2/15)
34.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5019	1240

prune102.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Error

Counts

103 → 3

Compiler

Compiled 1706 to 1319 computations (22.7% saved)

regimes95.0ms (2.4%)

Accuracy

Total 0.0b remaining (98.2%)

Threshold costs 0.0b (98.2%)

Compiler

Compiled 971 to 595 computations (38.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.2s (56.1%)

Algorithm

1×

intervals

Results

999.0ms	3903×	body	1024	valid
264.0ms	1972×	body	512	valid
110.0ms	385×	body	2048	valid
83.0ms	972×	body	256	valid
34.0ms	768×	body	128	valid

Compiler

Compiled 447 to 285 computations (36.2% saved)

Details

analyze174.0ms (4.4%)

sample57.0ms (1.4%)

simplify71.0ms (1.8%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite107.0ms (2.7%)

series151.0ms (3.8%)

simplify83.0ms (2.1%)

prune89.0ms (2.3%)

localize2.0ms (0%)

rewrite8.0ms (0.2%)

series62.0ms (1.6%)

simplify38.0ms (1%)

prune12.0ms (0.3%)

localize4.0ms (0.1%)

rewrite27.0ms (0.7%)

series146.0ms (3.7%)

simplify69.0ms (1.8%)

prune30.0ms (0.8%)

localize9.0ms (0.2%)

rewrite123.0ms (3.1%)

series186.0ms (4.7%)

simplify70.0ms (1.8%)

prune102.0ms (2.6%)

regimes95.0ms (2.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (56.1%)

Profiling