Details

analyze473.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	74×	body	1024	valid
4.0ms	45×	body	512	valid
3.0ms	104×	body	128	valid
2.0ms	12×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

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

40.3b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.6b	(-.f64 (exp.f64 x) 1)

rewrite103.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

40.3b

Rules

35×	`add-sqr-sqrt_binary64_1123`
30×	`*-un-lft-identity_binary64_1101`
21×	`times-frac_binary64_1107`
15×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
7×	`associate-/r*_binary64_1045`
5×	`difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`add-exp-log_binary64_1139` `cancel-sign-sub-inv_binary64_1067` `associate-/l*_binary64_1046`
2×	`pow1_binary64_1162` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r/_binary64_1047`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

2 → 63

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 977 to 489 computations (49.9% saved)

series103.0ms (2.2%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

63.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 252 to 184 computations (27% saved)

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5105	1195

prune71.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Error

0.0b

Counts

76 → 3

Compiler

Compiled 1012 to 508 computations (49.8% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.3b	(*.f64 x 1/12)

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_1140`
6×	`add-sqr-sqrt_binary64_1123`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
3×	`associate-l_binary64_1042` `associate-r_binary64_1041` `sum-log_binary64_1192`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-+l+_binary64_1034` `+-commutative_binary64_1031`

Counts

2 → 31

Calls

2 calls:

19.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
7.0ms	(*.f64 x 1/12)

Compiler

Compiled 486 to 389 computations (20% saved)

series91.0ms (2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

61.0ms	(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
20.0ms	(*.f64 x 1/12)

Compiler

Compiled 210 to 181 computations (13.8% saved)

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4926	453
1	4926	453

prune36.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

0.0b

Counts

46 → 3

Compiler

Compiled 539 to 429 computations (20.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.6b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite84.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
18×	`times-frac_binary64_1107`
14×	`add-cube-cbrt_binary64_1136`
10×	`difference-of-squares_binary64_1070`
6×	`add-exp-log_binary64_1139` `associate-/r*_binary64_1045`
5×	`distribute-lft-out--_binary64_1053`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `cancel-sign-sub-inv_binary64_1067` `associate-/l*_binary64_1046`
2×	`flip3--_binary64_1105` `flip--_binary64_1076` `div-exp_binary64_1152` `associate-/r/_binary64_1047`
1×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`

Counts

2 → 62

Calls

2 calls:

11.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
8.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 947 to 597 computations (37% saved)

series102.0ms (2.2%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

61.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
27.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 250 to 219 computations (12.4% saved)

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4951	1118
1	4951	1118

prune70.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 931 to 597 computations (35.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.2b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.3b	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
3.6b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite560.0ms (12.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

274×	`times-frac_binary64_1107`
237×	`*-un-lft-identity_binary64_1101`
153×	`add-sqr-sqrt_binary64_1123`
109×	`add-cube-cbrt_binary64_1136`
88×	`difference-of-sqr--1_binary64_1072`
64×	`distribute-lft-out_binary64_1052`
42×	`associate-/r*_binary64_1045`
22×	`unpow-prod-down_binary64_1180` `unpow2_binary64_1166` `sqr-pow_binary64_1073`
11×	`add-cbrt-cube_binary64_1137` `associate-/r/_binary64_1047` `associate-/l*_binary64_1046`
9×	`add-exp-log_binary64_1139`
8×	`add-log-exp_binary64_1140` `flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`div-inv_binary64_1098`
4×	`pow1_binary64_1162` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`sum-log_binary64_1192` `+-commutative_binary64_1031` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`

Counts

4 → 258

Calls

4 calls:

26.0ms	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
4.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 7352 to 4507 computations (38.7% saved)

series236.0ms (5.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

97.0ms	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
74.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
36.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)
14.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 800 to 572 computations (28.5% saved)

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5321	8221

prune392.0ms (8.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	282	3	285

Error

Counts

285 → 3

Compiler

Compiled 6587 to 3771 computations (42.8% saved)

regimes179.0ms (3.9%)

Accuracy

Total 1.0b remaining (98.7%)

Threshold costs 1.0b (98.7%)

Compiler

Compiled 1577 to 1108 computations (29.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample1.6s (35%)

Algorithm

1×

intervals

Results

464.0ms	2615×	body	1024	valid
127.0ms	1321×	body	512	valid
84.0ms	3133×	body	128	valid
58.0ms	293×	body	2048	valid
39.0ms	638×	body	256	valid
0.0ms	2×	body	2048	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 446 to 320 computations (28.3% saved)

Details

analyze473.0ms (10.3%)

sample30.0ms (0.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite103.0ms (2.2%)

series103.0ms (2.2%)

simplify81.0ms (1.8%)

prune71.0ms (1.6%)

localize11.0ms (0.2%)

rewrite54.0ms (1.2%)

series91.0ms (2%)

simplify86.0ms (1.9%)

prune36.0ms (0.8%)

localize5.0ms (0.1%)

rewrite84.0ms (1.8%)

series102.0ms (2.2%)

simplify93.0ms (2%)

prune70.0ms (1.5%)

localize7.0ms (0.2%)

rewrite560.0ms (12.2%)

series236.0ms (5.1%)

simplify109.0ms (2.4%)

prune392.0ms (8.5%)

regimes179.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (35%)

Profiling