Details

analyze224.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite116.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_419`
28×	`add-sqr-sqrt_binary64_441`
24×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454`
10×	`difference-of-squares_binary64_388`
7×	`distribute-lft-out_binary64_370`
6×	`associate-/r*_binary64_363`
5×	`distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
2×	`associate-/l/_binary64_366` `associate-/r/_binary64_365`
1×	`pow1_binary64_480` `div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `flip3--_binary64_423` `flip--_binary64_394`

Counts

1 → 50

Calls

1 calls:

16.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 800 to 609 computations (23.9% saved)

series84.0ms (1.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

60.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 264 to 241 computations (8.7% saved)

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4954	1035
1	4954	1035

prune105.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

Counts

63 → 2

Compiler

Compiled 863 to 644 computations (25.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite353.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

115×	`*-un-lft-identity_binary64_419`
77×	`add-sqr-sqrt_binary64_441`
72×	`times-frac_binary64_425`
60×	`exp-prod_binary64_471`
38×	`add-cube-cbrt_binary64_454`
31×	`log-pow_binary64_508`
26×	`difference-of-squares_binary64_388`
19×	`distribute-lft-out_binary64_370`
13×	`distribute-lft-out--_binary64_371`
6×	`associate-/r/_binary64_365` `associate-/r*_binary64_363`
5×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `associate-/l*_binary64_364`
3×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `log-prod_binary64_505`
2×	`associate-/l/_binary64_366`
1×	`rem-exp-log_binary64_459` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393` `rem-log-exp_binary64_460`

Counts

3 → 130

Calls

3 calls:

25.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
19.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
16.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 2426 to 1915 computations (21.1% saved)

series301.0ms (4.1%)

Error

Counts

3 → 36

Calls

3 calls:

96.0ms	(exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
84.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
66.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 936 to 848 computations (9.4% saved)

simplify159.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5326	2446

prune295.0ms (4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	166	2	168

Error

Counts

168 → 2

Compiler

Compiled 2563 to 1972 computations (23.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite2.1s (28.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

383×	`*-un-lft-identity_binary64_419`
225×	`add-sqr-sqrt_binary64_441`
222×	`times-frac_binary64_425`
180×	`cbrt-prod_binary64_450`
96×	`add-cube-cbrt_binary64_454`
70×	`difference-of-squares_binary64_388`
65×	`distribute-lft-out_binary64_370`
57×	`swap-sqr_binary64_386`
47×	`distribute-lft-out--_binary64_371`
33×	`associate-l_binary64_360` `associate-r_binary64_359`
18×	`associate-/r*_binary64_363`
14×	`associate-/r/_binary64_365`
12×	`add-exp-log_binary64_457` `associate-/l*_binary64_364`
11×	`pow1_binary64_480`
10×	`add-cbrt-cube_binary64_455`
9×	`unswap-sqr_binary64_387`
7×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394`
6×	`pow1/3_binary64_501` `associate-/l/_binary64_366`
4×	`add-log-exp_binary64_458` `cbrt-div_binary64_451`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `associate-l/_binary64_362` `associate-r/_binary64_361` `*-commutative_binary64_350`

Counts

4 → 303

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
16.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
16.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
15.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 11448 to 8967 computations (21.7% saved)

series426.0ms (5.8%)

Error

Counts

4 → 48

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
72.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
71.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
69.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 2628 to 2197 computations (16.4% saved)

simplify251.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5402	8376

prune1.3s (18.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	351	2	353

Error

Counts

353 → 2

Compiler

Compiled 11743 to 9107 computations (22.4% saved)

regimes110.0ms (1.5%)

Accuracy

Total 0.0b remaining (94.1%)

Threshold costs 0.0b (94.1%)

Compiler

Compiled 526 to 450 computations (14.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample1.3s (17.5%)

Algorithm

1×

intervals

Results

310.0ms

8000×

body

128

valid

Compiler

Compiled 272 to 234 computations (14% saved)

Details

analyze224.0ms (3%)

sample23.0ms (0.3%)

simplify70.0ms (0.9%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite116.0ms (1.6%)

series84.0ms (1.1%)

simplify109.0ms (1.5%)

prune105.0ms (1.4%)

localize15.0ms (0.2%)

rewrite353.0ms (4.8%)

series301.0ms (4.1%)

simplify159.0ms (2.2%)

prune295.0ms (4%)

localize17.0ms (0.2%)

rewrite2.1s (28.2%)

series426.0ms (5.8%)

simplify251.0ms (3.4%)

prune1.3s (18.1%)

regimes110.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (17.5%)

Profiling