Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample33.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	76×	body	1024	valid
4.0ms	134×	body	128	valid
3.0ms	27×	body	512	valid
3.0ms	6×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify250.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4638	15
1	4638	15

prune2.0ms (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

Merged error: 29.5b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_423`
24×	`add-sqr-sqrt_binary64_445`
15×	`times-frac_binary64_429`
13×	`add-cube-cbrt_binary64_458`
7×	`add-log-exp_binary64_462`
5×	`distribute-lft-out_binary64_374` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
4×	`difference-of-squares_binary64_392` `associate-/r*_binary64_367`
3×	`cancel-sign-sub-inv_binary64_389` `pow1_binary64_484` `associate-/l*_binary64_368`
2×	`flip-+_binary64_397` `associate-/r/_binary64_369` `flip3-+_binary64_426` `difference-of-sqr-1_binary64_393`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `+-commutative_binary64_353` `flip3--_binary64_427` `clear-num_binary64_422` `distribute-lft-out--_binary64_375` `frac-2neg_binary64_434` `flip--_binary64_398` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474` `sum-log_binary64_514`

Counts

3 → 66

Calls

3 calls:

13.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series155.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
49.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify108.0ms (3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4817	1373
1	4817	1373

prune202.0ms (5.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

Compiler

Compiled 3018 to 2897 computations (4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.5b	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_423`
27×	`add-sqr-sqrt_binary64_445`
24×	`times-frac_binary64_429`
23×	`add-cube-cbrt_binary64_458`
18×	`exp-prod_binary64_475`
8×	`distribute-lft-out_binary64_374` `add-log-exp_binary64_462`
6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
5×	`pow1_binary64_484`
4×	`associate-/r/_binary64_369` `associate-/r*_binary64_367`
3×	`associate--l+_binary64_360` `flip-+_binary64_397` `cancel-sign-sub-inv_binary64_389` `flip3-+_binary64_426` `log-prod_binary64_509` `associate-/l*_binary64_368`
2×	`distribute-lft-out--_binary64_375` `difference-of-squares_binary64_392` `div-inv_binary64_420`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `+-commutative_binary64_353` `rem-exp-log_binary64_463` `flip3--_binary64_427` `log-pow_binary64_512` `clear-num_binary64_422` `frac-2neg_binary64_434` `difference-of-sqr-1_binary64_393` `flip--_binary64_398` `cbrt-undiv_binary64_457` `div-exp_binary64_474` `sum-log_binary64_514`

Counts

4 → 93

Calls

4 calls:

17.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
8.0ms	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series358.0ms (10%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
81.0ms	(exp.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
48.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
12.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4831	1765
1	4831	1765

prune123.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 1963 to 1785 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.3b	(*.f64 1/3 (pow.f64 x 3))
19.0b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

8.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

series175.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(*.f64 2/15 (pow.f64 x 5))
63.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
49.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4866	994
1	4866	994

prune81.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0b

Counts

82 → 3

Compiler

Compiled 1395 to 1076 computations (22.9% saved)

regimes466.0ms (13.1%)

Compiler: Compiled 3094 to 3126 computations (-1% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	54
1	79	54

end0.0ms (0%)

sample1.3s (36.8%)

Algorithm

1×

intervals

Results

426.0ms	2056×	body	1024	valid
148.0ms	4256×	body	128	valid
124.0ms	956×	body	512	valid
57.0ms	220×	body	2048	valid
44.0ms	512×	body	256	valid

Compiler

Compiled 330 to 329 computations (0.3% saved)

Details

analyze2.0ms (0.1%)

sample33.0ms (0.9%)

simplify250.0ms (7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite29.0ms (0.8%)

series155.0ms (4.3%)

simplify108.0ms (3%)

prune202.0ms (5.7%)

localize10.0ms (0.3%)

rewrite44.0ms (1.2%)

series358.0ms (10%)

simplify94.0ms (2.6%)

prune123.0ms (3.4%)

localize9.0ms (0.2%)

rewrite26.0ms (0.7%)

series175.0ms (4.9%)

simplify75.0ms (2.1%)

prune81.0ms (2.3%)

regimes466.0ms (13.1%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (36.8%)

Profiling