Details

analyze233.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample67.0ms (0.9%)

Algorithm

1×

intervals

Results

30.0ms	63×	body	1024	valid
11.0ms	139×	body	128	valid
8.0ms	31×	body	512	valid
6.0ms	5×	body	2048	valid
3.0ms	18×	body	256	valid
0.0ms	5×	body	128	invalid
0.0ms	4×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify224.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4933	41
1	4933	41

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.6b

Counts

2 → 1

Compiler

Compiled 112 to 96 computations (14.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
2.3b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_432`
78×	`exp-neg_binary64_470`
76×	`frac-times_binary64_433`
59×	`exp-diff_binary64_471` `neg-sub0_binary64_418`
38×	`associate-r/_binary64_365` `associate-l/_binary64_366`
31×	`flip3--_binary64_427` `flip--_binary64_398`
27×	`flip-+_binary64_397` `flip3-+_binary64_426`
25×	`add-sqr-sqrt_binary64_445`
19×	`un-div-inv_binary64_421`
17×	`*-un-lft-identity_binary64_423`
14×	`associate-l_binary64_364`
12×	`exp-prod_binary64_475`
10×	`add-log-exp_binary64_462`
8×	`add-cube-cbrt_binary64_458`
6×	`times-frac_binary64_429` `pow1_binary64_484` `difference-of-squares_binary64_392` `add-cbrt-cube_binary64_459`
5×	`add-exp-log_binary64_461`
4×	`rem-exp-log_binary64_463`
3×	`associate-r_binary64_363` `difference-of-sqr-1_binary64_393`
2×	`neg-log_binary64_516` `distribute-lft-neg-in_binary64_380` `distribute-lft-out--_binary64_375` `neg-mul-1_binary64_419` `distribute-rgt-neg-in_binary64_381`
1×	`pow-prod-down_binary64_494` `sub-neg_binary64_416` `diff-log_binary64_515` `cancel-sign-sub-inv_binary64_389` `prod-exp_binary64_472` `*-commutative_binary64_354` `div-inv_binary64_420` `unswap-sqr_binary64_391` `cbrt-unprod_binary64_456`

Counts

4 → 165

Calls

4 calls:

22.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
18.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
3.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

series409.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
75.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
37.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
31.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4965	8831
1	4965	8831

prune1.4s (18.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	3	178

Merged error: 0.4b

Counts

178 → 3

Compiler

Compiled 27141 to 21954 computations (19.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 x 3))
6.8b	(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (.f64 x x))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_445`
12×	`associate-r_binary64_363`
7×	`add-exp-log_binary64_461` `add-log-exp_binary64_462`
6×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
4×	`add-cbrt-cube_binary64_459` `cube-prod_binary64_451` `unswap-sqr_binary64_391` `unpow-prod-down_binary64_502`
3×	`associate-l_binary64_364` `prod-exp_binary64_472`
2×	`diff-log_binary64_515` `pow1_binary64_484` `sqr-pow_binary64_395`
1×	`associate--l+_binary64_360` `sub-neg_binary64_416` `pow-to-exp_binary64_492` `unpow3_binary64_489` `cancel-sign-sub-inv_binary64_389` `pow-exp_binary64_491` `flip3--_binary64_427` `*-commutative_binary64_354` `difference-of-squares_binary64_392` `cube-mult_binary64_453` `flip--_binary64_398` `sum-log_binary64_514` `cbrt-unprod_binary64_456`

Counts

2 → 46

Calls

2 calls:

10.0ms	(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (.f64 x x))
7.0ms	(*.f64 2/3 (pow.f64 x 3))

series85.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(*.f64 2/3 (pow.f64 x 3))
34.0ms	(-.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (.f64 x x))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4943	670
1	4943	670

prune79.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0.4b

Counts

55 → 4

Compiler

Compiled 1428 to 1095 computations (23.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 x 3))
0.1b	(*.f64 2/3 (pow.f64 x 3))
11.2b	(-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6))
13.4b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))))

rewrite91.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`add-sqr-sqrt_binary64_445`
60×	`difference-of-squares_binary64_392`
48×	`times-frac_binary64_429`
46×	`unpow-prod-down_binary64_502`
45×	`*-un-lft-identity_binary64_423`
40×	`sqr-pow_binary64_395`
35×	`add-cube-cbrt_binary64_458`
24×	`associate-r_binary64_363`
23×	`cube-prod_binary64_451`
16×	`add-exp-log_binary64_461` `associate-/l*_binary64_368`
10×	`add-cbrt-cube_binary64_459`
8×	`unswap-sqr_binary64_391`
7×	`cancel-sign-sub-inv_binary64_389`
6×	`associate-l_binary64_364` `prod-exp_binary64_472` `add-log-exp_binary64_462`
5×	`distribute-lft-out--_binary64_375`
4×	`pow1_binary64_484`
3×	`associate-/r*_binary64_367`
2×	`pow-to-exp_binary64_492` `unpow3_binary64_489` `pow-exp_binary64_491` `flip3--_binary64_427` `associate-/l/_binary64_370` `*-commutative_binary64_354` `associate-/r/_binary64_369` `cube-mult_binary64_453` `flip--_binary64_398` `cbrt-unprod_binary64_456`
1×	`sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `div-sub_binary64_428` `clear-num_binary64_422` `flip3-+_binary64_426` `frac-2neg_binary64_434` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

4 → 177

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))))
19.0ms	(-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6))
8.0ms	(*.f64 2/3 (pow.f64 x 3))
8.0ms	(*.f64 2/3 (pow.f64 x 3))

series303.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2)))))
98.0ms	(-.f64 (pow.f64 (+.f64 (*.f64 2/3 (pow.f64 x 3)) 2) 3) (pow.f64 x 6))
49.0ms	(*.f64 2/3 (pow.f64 x 3))
48.0ms	(*.f64 2/3 (pow.f64 x 3))

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4970	9345
1	4970	9345

prune903.0ms (12.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	189	4	193

Merged error: 0.4b

Counts

193 → 4

Compiler

Compiled 12223 to 9810 computations (19.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) 5/3)
0.1b	(*.f64 2/3 (pow.f64 x 3))
0.1b	(*.f64 2/3 (pow.f64 x 3))
13.6b	(/.f64 (+.f64 8 (+.f64 (.f64 (pow.f64 x 6) 5/3) (.f64 (pow.f64 x 3) 8))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))))

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_445`
32×	`*-un-lft-identity_binary64_423`
27×	`associate-r_binary64_363`
24×	`add-cube-cbrt_binary64_458`
21×	`add-exp-log_binary64_461`
13×	`associate-l_binary64_364`
12×	`times-frac_binary64_429` `add-cbrt-cube_binary64_459` `unpow-prod-down_binary64_502`
11×	`unswap-sqr_binary64_391`
9×	`prod-exp_binary64_472`
8×	`cube-prod_binary64_451`
6×	`sqr-pow_binary64_395`
4×	`distribute-lft-out_binary64_374` `pow1_binary64_484` `add-log-exp_binary64_462` `associate-/l*_binary64_368`
3×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `-commutative_binary64_354` `associate-/r_binary64_367` `cbrt-unprod_binary64_456`
2×	`flip-+_binary64_397` `unpow3_binary64_489` `associate-/l/_binary64_370` `associate-/r/_binary64_369` `flip3-+_binary64_426` `cube-mult_binary64_453`
1×	`clear-num_binary64_422` `frac-2neg_binary64_434` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

4 → 122

Calls

4 calls:

14.0ms	(/.f64 (+.f64 8 (+.f64 (.f64 (pow.f64 x 6) 5/3) (.f64 (pow.f64 x 3) 8))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))))
10.0ms	(*.f64 2/3 (pow.f64 x 3))
8.0ms	(*.f64 2/3 (pow.f64 x 3))
6.0ms	(*.f64 (pow.f64 x 6) 5/3)

series244.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(/.f64 (+.f64 8 (+.f64 (.f64 (pow.f64 x 6) 5/3) (.f64 (pow.f64 x 3) 8))) (+.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 2/3 (pow.f64 x 3)) 2) (+.f64 (.f64 x x) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2)))))
57.0ms	(*.f64 (pow.f64 x 6) 5/3)
49.0ms	(*.f64 2/3 (pow.f64 x 3))
45.0ms	(*.f64 2/3 (pow.f64 x 3))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5194	3664

prune431.0ms (5.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	134	4	138

Merged error: 0.4b

Counts

138 → 4

Compiler

Compiled 7092 to 5643 computations (20.4% saved)

regimes59.0ms (0.8%)

Compiler: Compiled 464 to 388 computations (16.4% saved)

bsearch73.0ms (1%)

Steps

Iters	Range		Point
8	0.1393614513910683	496.2217663479898	62.70095631767314

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	198	90
1	198	90

end0.0ms (0%)

sample2.2s (29.8%)

Algorithm

1×

intervals

Results

871.0ms	1990×	body	1024	valid
360.0ms	4321×	body	128	valid
248.0ms	979×	body	512	valid
165.0ms	218×	body	2048	valid
78.0ms	492×	body	256	valid
17.0ms	204×	body	128	invalid
15.0ms	197×	body	128	overflowed
7.0ms	16×	body	1024	invalid
3.0ms	10×	body	512	invalid
1.0ms	6×	body	256	invalid

Compiler

Compiled 319 to 267 computations (16.3% saved)

Details

analyze233.0ms (3.1%)

sample67.0ms (0.9%)

simplify224.0ms (3%)

prune7.0ms (0.1%)

localize20.0ms (0.3%)

rewrite85.0ms (1.1%)

series409.0ms (5.5%)

simplify164.0ms (2.2%)

prune1.4s (18.3%)

localize8.0ms (0.1%)

rewrite20.0ms (0.3%)

series85.0ms (1.1%)

simplify90.0ms (1.2%)

prune79.0ms (1.1%)

localize18.0ms (0.2%)

rewrite91.0ms (1.2%)

series303.0ms (4.1%)

simplify98.0ms (1.3%)

prune903.0ms (12.2%)

localize19.0ms (0.3%)

rewrite56.0ms (0.8%)

series244.0ms (3.3%)

simplify55.0ms (0.7%)

prune431.0ms (5.8%)

regimes59.0ms (0.8%)

bsearch73.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (29.8%)

Profiling