Details

analyze2.0ms (0%)

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 (0.5%)

Algorithm

1×

intervals

Results

15.0ms	69×	body	1024	valid
5.0ms	140×	body	128	valid
4.0ms	29×	body	512	valid
1.0ms	15×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify264.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4687	15
1	4687	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: 28.2b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.4b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_414`
22×	`add-sqr-sqrt_binary64_435`
15×	`times-frac_binary64_420`
11×	`add-cube-cbrt_binary64_446`
4×	`difference-of-squares_binary64_383` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `distribute-lft-out_binary64_367` `associate-/r*_binary64_360`
3×	`associate-/l*_binary64_361`
2×	`associate-/r/_binary64_362` `pow1_binary64_472` `difference-of-sqr-1_binary64_384`
1×	`flip3--_binary64_418` `clear-num_binary64_413` `distribute-lft-out--_binary64_368` `flip3-+_binary64_417` `diff-log_binary64_503` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `sub-neg_binary64_407` `flip-+_binary64_388` `frac-2neg_binary64_425` `flip--_binary64_389` `div-exp_binary64_462`

Counts

2 → 51

Calls

2 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series140.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

83.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
56.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4911	1184
1	4911	1184

prune78.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

Compiler

Compiled 1060 to 967 computations (8.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
2.4b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite83.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_414`
36×	`add-sqr-sqrt_binary64_435`
33×	`times-frac_binary64_420`
22×	`add-cube-cbrt_binary64_446`
19×	`distribute-lft-out_binary64_367`
15×	`flip3-+_binary64_417` `flip-+_binary64_388`
13×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
12×	`difference-of-sqr--1_binary64_385`
11×	`pow1_binary64_472`
10×	`associate-/r/_binary64_362`
9×	`associate-/l*_binary64_361`
8×	`frac-times_binary64_424`
6×	`add-log-exp_binary64_450` `swap-sqr_binary64_381`
5×	`associate-/r*_binary64_360`
4×	`associate-l/_binary64_359` `associate-l_binary64_357` `associate-r_binary64_356` `associate-r/_binary64_358`
3×	`cbrt-undiv_binary64_445` `div-exp_binary64_462`
2×	`clear-num_binary64_413` `div-inv_binary64_411` `prod-exp_binary64_460` `frac-2neg_binary64_425` `cbrt-unprod_binary64_444` `associate-/l/_binary64_363`
1×	`pow-plus_binary64_474` `distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `*-commutative_binary64_347` `+-commutative_binary64_346` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `unswap-sqr_binary64_382` `sum-log_binary64_502` `pow2_binary64_492`

Counts

4 → 133

Calls

4 calls:

27.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
18.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
11.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
10.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))

series637.0ms (10%)

Counts

4 → 12

Calls

4 calls:

351.0ms	(/.f64 (+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (.f64 -2 x))))) -1) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
137.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
110.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
39.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	4389
1	4960	4389

prune318.0ms (5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	145	3	148

Merged error: 0b

Counts

148 → 3

Compiler

Compiled 5030 to 4547 computations (9.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) 2)) -1) 3)) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
0.0b	(pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3)
0.3b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3))
2.4b	(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1)

rewrite132.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`times-frac_binary64_420`
163×	`add-sqr-sqrt_binary64_435`
144×	`cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414`
78×	`unpow-prod-down_binary64_490`
75×	`difference-of-sqr--1_binary64_385`
63×	`cube-prod_binary64_439`
58×	`add-cube-cbrt_binary64_446`
43×	`distribute-lft-out_binary64_367`
27×	`associate-/l*_binary64_361`
22×	`sqr-pow_binary64_386`
15×	`unpow2_binary64_476`
7×	`cube-mult_binary64_441` `add-exp-log_binary64_449` `unpow3_binary64_477`
6×	`add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `cube-div_binary64_440`
5×	`pow1_binary64_472` `flip3-+_binary64_417` `flip-+_binary64_388`
4×	`cbrt-div_binary64_443` `associate-/r*_binary64_360`
3×	`pow-unpow_binary64_488`
2×	`associate-/r/_binary64_362` `associate-/l/_binary64_363`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `+-commutative_binary64_346` `cbrt-undiv_binary64_445` `pow-pow_binary64_483` `pow-exp_binary64_479` `rem-cbrt-cube_binary64_437` `pow-to-exp_binary64_480` `frac-2neg_binary64_425` `pow1/3_binary64_493` `sum-log_binary64_502` `rem-cube-cbrt_binary64_436` `div-exp_binary64_462`

Counts

4 → 244

Calls

4 calls:

38.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) 2)) -1) 3)) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
19.0ms	(pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3)
19.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3))
17.0ms	(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1)

series892.0ms (14%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) 2)) -1) 3)) (+.f64 1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))))
285.0ms	(pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3)
133.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1) 3))
133.0ms	(+.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) -1)

simplify141.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5043	11630

prune777.0ms (12.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	256	3	259

Merged error: 0b

Counts

259 → 3

Compiler

Compiled 9847 to 9063 computations (8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

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

0.5b

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

2.4b

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

rewrite165.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_420`
308×	`*-un-lft-identity_binary64_414`
245×	`add-sqr-sqrt_binary64_435`
239×	`sqrt-prod_binary64_429`
187×	`add-cube-cbrt_binary64_446`
56×	`distribute-lft-out_binary64_367`
30×	`associate-/l*_binary64_361`
20×	`associate-/r/_binary64_362` `sqrt-div_binary64_430`
14×	`difference-of-squares_binary64_383` `associate-/r*_binary64_360`
10×	`flip3-+_binary64_417` `div-inv_binary64_411` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `flip-+_binary64_388`
7×	`difference-of-sqr-1_binary64_384`
5×	`add-log-exp_binary64_450`
4×	`cbrt-undiv_binary64_445` `div-exp_binary64_462`
3×	`pow1_binary64_472`
2×	`clear-num_binary64_413` `frac-2neg_binary64_425`
1×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `diff-log_binary64_503` `sub-neg_binary64_407` `flip--_binary64_389` `associate-/l/_binary64_363`

Counts

3 → 318

Calls

3 calls:

84.0ms

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

19.0ms

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

11.0ms

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

series249.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

98.0ms

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

97.0ms

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

54.0ms

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

simplify181.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	12110
1	4915	12110

prune808.0ms (12.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	327	3	330

Merged error: 0b

Counts

330 → 3

Compiler

Compiled 9411 to 8545 computations (9.2% saved)

regimes147.0ms (2.3%)

Compiler: Compiled 481 to 492 computations (-2.3% saved)

bsearch2.0ms (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	81	69
1	81	69

end0.0ms (0%)

sample1.1s (17.3%)

Algorithm

1×

intervals

Results

425.0ms	1995×	body	1024	valid
147.0ms	4326×	body	128	valid
122.0ms	968×	body	512	valid
58.0ms	200×	body	2048	valid
44.0ms	511×	body	256	valid

Compiler

Compiled 114 to 111 computations (2.6% saved)

Details

analyze2.0ms (0%)

sample33.0ms (0.5%)

simplify264.0ms (4.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite22.0ms (0.3%)

series140.0ms (2.2%)

simplify66.0ms (1%)

prune78.0ms (1.2%)

localize11.0ms (0.2%)

rewrite83.0ms (1.3%)

series637.0ms (10%)

simplify86.0ms (1.3%)

prune318.0ms (5%)

localize14.0ms (0.2%)

rewrite132.0ms (2.1%)

series892.0ms (14%)

simplify141.0ms (2.2%)

prune777.0ms (12.2%)

localize8.0ms (0.1%)

rewrite165.0ms (2.6%)

series249.0ms (3.9%)

simplify181.0ms (2.8%)

prune808.0ms (12.7%)

regimes147.0ms (2.3%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (17.3%)

Profiling