Details

analyze4.0ms (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)

sample59.0ms (0.8%)

Algorithm

1×

intervals

Results

26.0ms	67×	body	1024	valid
10.0ms	151×	body	128	valid
5.0ms	23×	body	512	valid
5.0ms	6×	body	2048	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify391.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4638	15
1	4638	15

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

Merged error: 27.0b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.1%)

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)))
2.6b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_419`
24×	`add-sqr-sqrt_binary64_441`
15×	`times-frac_binary64_425`
13×	`add-cube-cbrt_binary64_454`
7×	`add-log-exp_binary64_458`
5×	`distribute-lft-out_binary64_370` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
4×	`difference-of-squares_binary64_388` `associate-/r*_binary64_363`
3×	`cancel-sign-sub-inv_binary64_385` `pow1_binary64_480` `associate-/l*_binary64_364`
2×	`flip3-+_binary64_422` `difference-of-sqr-1_binary64_389` `associate-/r/_binary64_365` `flip-+_binary64_393`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `frac-2neg_binary64_430` `diff-log_binary64_511` `flip--_binary64_394` `+-commutative_binary64_349` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

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)))

series176.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
67.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
16.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4817	1373
1	4817	1373

prune110.0ms (1.4%)

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

Merged error: 0.0b

Counts

76 → 3

Compiler

Compiled 1298 to 1178 computations (9.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
0.3b	(.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
3.2b	(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))

rewrite90.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_419`
21×	`add-sqr-sqrt_binary64_441`
20×	`sqrt-prod_binary64_435`
14×	`add-cube-cbrt_binary64_454`
13×	`times-frac_binary64_425`
9×	`flip3-+_binary64_422` `distribute-lft-out_binary64_370` `flip-+_binary64_393`
8×	`add-log-exp_binary64_458`
7×	`pow1_binary64_480`
6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
5×	`associate-l_binary64_360`
4×	`associate-r_binary64_359` `frac-times_binary64_429`
2×	`associate-l/_binary64_362` `sum-log_binary64_510` `associate-r/_binary64_361` `associate-/r/_binary64_365` `rem-sqrt-square_binary64_432` `+-commutative_binary64_349`
1×	`pow-prod-down_binary64_490` `sqrt-div_binary64_436` `distribute-rgt-in_binary64_369` `pow1/2_binary64_499` `div-inv_binary64_416` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368` `*-commutative_binary64_350` `sqrt-pow1_binary64_437`

Counts

4 → 86

Calls

4 calls:

40.0ms	(.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
20.0ms	(+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
11.0ms	(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
7.0ms	(sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

series868.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

453.0ms	(.f64 (+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))))) (+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))
151.0ms	(sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
143.0ms	(+.f64 -1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))
121.0ms	(+.f64 1 (sqrt.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))))

simplify189.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4896	2969
1	4896	2969

prune289.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

Compiler

Compiled 3215 to 2949 computations (8.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
0.4b	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
2.6b	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)

rewrite196.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_425`
313×	`*-un-lft-identity_binary64_419`
249×	`add-sqr-sqrt_binary64_441`
243×	`sqrt-prod_binary64_435`
190×	`add-cube-cbrt_binary64_454`
57×	`distribute-lft-out_binary64_370`
30×	`associate-/l*_binary64_364`
22×	`sqrt-div_binary64_436`
20×	`associate-/r/_binary64_365`
14×	`difference-of-squares_binary64_388` `associate-/r*_binary64_363`
11×	`flip3-+_binary64_422` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
10×	`div-inv_binary64_416`
7×	`difference-of-sqr-1_binary64_389`
6×	`add-log-exp_binary64_458`
5×	`pow1_binary64_480`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`sub-neg_binary64_412` `pow1/2_binary64_499` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `diff-log_binary64_511` `sqrt-pow1_binary64_437` `flip--_binary64_394` `rem-sqrt-square_binary64_432` `associate-/l/_binary64_366`

Counts

4 → 337

Calls

4 calls:

98.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
22.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
8.0ms	(sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))

series387.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
114.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
85.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
56.0ms	(sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify215.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

349 → 349

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4906	12396
1	4906	12396

prune1.1s (14.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	349	0	349
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	349	3	352

Merged error: 0.0b

Counts

352 → 3

Compiler

Compiled 9939 to 9015 computations (9.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
20.5b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
14×	`add-exp-log_binary64_457`
11×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
8×	`unpow-prod-down_binary64_498` `add-cbrt-cube_binary64_455`
7×	`unswap-sqr_binary64_387`
6×	`prod-exp_binary64_468` `associate-l_binary64_360`
4×	`sqr-pow_binary64_391` `cube-prod_binary64_447` `pow1_binary64_480`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `sum-log_binary64_510` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `diff-log_binary64_511`
1×	`flip3-+_binary64_422` `associate--l+_binary64_356` `sub-neg_binary64_412` `unpow3_binary64_485` `cube-mult_binary64_449` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `+-commutative_binary64_349`

Counts

4 → 81

Calls

4 calls:

7.0ms	(*.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))
4.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))

series470.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
114.0ms	(*.f64 2/15 (pow.f64 x 5))
73.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
69.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4877	1196
1	4877	1196

prune122.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	92	4	96

Merged error: 0b

Counts

96 → 4

Compiler

Compiled 1649 to 1273 computations (22.8% saved)

regimes754.0ms (10%)

Compiler: Compiled 3910 to 3840 computations (1.8% saved)

bsearch3.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	88
1	67	88

end0.0ms (0%)

sample1.8s (24.1%)

Algorithm

1×

intervals

Results

570.0ms	2047×	body	1024	valid
194.0ms	4228×	body	128	valid
172.0ms	1016×	body	512	valid
74.0ms	228×	body	2048	valid
52.0ms	481×	body	256	valid

Compiler

Compiled 459 to 442 computations (3.7% saved)

Details

analyze4.0ms (0.1%)

sample59.0ms (0.8%)

simplify391.0ms (5.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite27.0ms (0.4%)

series176.0ms (2.3%)

simplify133.0ms (1.8%)

prune110.0ms (1.4%)

localize10.0ms (0.1%)

rewrite90.0ms (1.2%)

series868.0ms (11.5%)

simplify189.0ms (2.5%)

prune289.0ms (3.8%)

localize13.0ms (0.2%)

rewrite196.0ms (2.6%)

series387.0ms (5.1%)

simplify215.0ms (2.8%)

prune1.1s (14.7%)

localize9.0ms (0.1%)

rewrite30.0ms (0.4%)

series470.0ms (6.2%)

simplify82.0ms (1.1%)

prune122.0ms (1.6%)

regimes754.0ms (10%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (24.1%)

Profiling