Details

analyze1.5s (21.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
9.0ms	159×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify260.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5230	31

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(*.f64 (-.f64 t 1) a)

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*l/_binary64_359` `add-sqr-sqrt_binary64_435`
21×	`*-un-lft-identity_binary64_414`
20×	`associate-l_binary64_357`
19×	`flip3--_binary64_418` `flip--_binary64_389`
13×	`add-log-exp_binary64_450`
12×	`frac-add_binary64_422`
10×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
9×	`associate-r_binary64_356`
8×	`frac-sub_binary64_423`
5×	`difference-of-squares_binary64_383`
4×	`distribute-lft-out--_binary64_368`
3×	`diff-log_binary64_503` `*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `sum-log_binary64_502`
2×	`sub-neg_binary64_407` `difference-of-sqr-1_binary64_384` `associate-+l+_binary64_349`
1×	`associate--l+_binary64_353` `flip3-+_binary64_417` `associate-+l-_binary64_351` `+-commutative_binary64_346` `flip-+_binary64_388` `distribute-lft-out_binary64_367`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
10.0ms	(*.f64 (-.f64 y 1) z)
8.0ms	(*.f64 (-.f64 t 1) a)

series447.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
49.0ms	(*.f64 (-.f64 t 1) a)
46.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
36.0ms	(*.f64 (-.f64 y 1) z)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4942	3346
1	4942	3346

prune178.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

Compiler

Compiled 3996 to 2383 computations (40.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`cbrt-prod_binary64_442`
55×	`add-sqr-sqrt_binary64_435`
44×	`*-un-lft-identity_binary64_414`
18×	`cbrt-div_binary64_443`
16×	`difference-of-squares_binary64_383`
15×	`add-cube-cbrt_binary64_446`
14×	`swap-sqr_binary64_381`
11×	`pow1_binary64_472`
10×	`associate-l_binary64_357` `associate-r_binary64_356`
9×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `difference-of-sqr-1_binary64_384` `flip--_binary64_389` `pow1/3_binary64_493`
6×	`add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `unswap-sqr_binary64_382` `frac-times_binary64_424`
2×	`associate-l/_binary64_359` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `associate-r/_binary64_358`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 115

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
4.0ms	(cbrt.f64 (-.f64 y 1))
4.0ms	(cbrt.f64 (-.f64 y 1))
4.0ms	(cbrt.f64 (-.f64 y 1))

series205.0ms (3%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
51.0ms	(cbrt.f64 (-.f64 y 1))
47.0ms	(cbrt.f64 (-.f64 y 1))
46.0ms	(cbrt.f64 (-.f64 y 1))

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4921	2030
1	4921	2030

prune236.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	127	4	131

Merged error: 0.0b

Counts

131 → 4

Compiler

Compiled 4962 to 3377 computations (31.9% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 t 1) a)) (cbrt.f64 (*.f64 (-.f64 t 1) a)))
0.5b	(cbrt.f64 (*.f64 (-.f64 t 1) a))
0.5b	(cbrt.f64 (*.f64 (-.f64 t 1) a))
0.5b	(cbrt.f64 (*.f64 (-.f64 t 1) a))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_359`
18×	`cbrt-div_binary64_443`
11×	`pow1_binary64_472`
10×	`add-sqr-sqrt_binary64_435`
9×	`flip3--_binary64_418` `flip--_binary64_389` `pow1/3_binary64_493`
8×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
7×	`cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447` `associate-l_binary64_357` `add-log-exp_binary64_450` `swap-sqr_binary64_381` `associate-r_binary64_356` `frac-times_binary64_424`
2×	`pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `associate-*r/_binary64_358`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1) a)) (cbrt.f64 (*.f64 (-.f64 t 1) a)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
5.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
5.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))

series454.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 t 1) a)) (cbrt.f64 (*.f64 (-.f64 t 1) a)))
113.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
102.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))
99.0ms	(cbrt.f64 (*.f64 (-.f64 t 1) a))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4901	1335
1	4901	1335

prune156.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 3454 to 2225 computations (35.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))
2.6b	(*.f64 a (-.f64 (pow.f64 t 3) 1))
12.1b	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_435`
18×	`add-log-exp_binary64_450`
16×	`associate-r_binary64_356`
14×	`*-un-lft-identity_binary64_414`
11×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
10×	`flip3--_binary64_418` `flip--_binary64_389`
8×	`associate-*l/_binary64_359` `difference-of-squares_binary64_383` `add-cube-cbrt_binary64_446` `frac-add_binary64_422`
6×	`pow1_binary64_472` `sum-log_binary64_502`
4×	`frac-sub_binary64_423` `sub-neg_binary64_407` `difference-of-sqr-1_binary64_384` `associate-*r/_binary64_358`
3×	`times-frac_binary64_420` `flip3-+_binary64_417` `cube-prod_binary64_439` `diff-log_binary64_503` `sqr-pow_binary64_386` `associate-l_binary64_357` `unpow-prod-down_binary64_490` `flip-+_binary64_388` `associate-/r*_binary64_360`
2×	`associate-/r/_binary64_362` `+-commutative_binary64_346` `cbrt-undiv_binary64_445` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `associate-/l/_binary64_363` `div-exp_binary64_462` `associate-+l+_binary64_349`
1×	`associate--l+_binary64_353` `distribute-lft-in_binary64_365` `clear-num_binary64_413` `distribute-lft-out--_binary64_368` `distribute-rgt-in_binary64_366` `div-inv_binary64_411` `-commutative_binary64_347` `associate-+l-_binary64_351` `pow-prod-down_binary64_482` `associate-+r+_binary64_348` `frac-2neg_binary64_425` `unswap-sqr_binary64_382` `associate-/l_binary64_361`

Counts

4 → 97

Calls

4 calls:

25.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
19.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))
13.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
9.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))

series1.1s (16.2%)

Counts

4 → 12

Calls

4 calls:

770.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))) (.f64 (-.f64 (+.f64 y t) 2) b))
220.0ms	(/.f64 (.f64 a (-.f64 (pow.f64 t 3) 1)) (+.f64 (.f64 t t) (+.f64 (.f64 1 1) (.f64 t 1))))
116.0ms	(*.f64 a (-.f64 (pow.f64 t 3) 1))
16.0ms	(+.f64 (.f64 t t) (+.f64 (.f64 1 1) (*.f64 t 1)))

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4947	3890
1	4947	3890

prune220.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

Compiler

Compiled 5074 to 3108 computations (38.7% saved)

regimes91.0ms (1.3%)

Compiler: Compiled 816 to 744 computations (8.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	192	49
1	192	49

end0.0ms (0%)

sample1.4s (20.1%)

Algorithm

1×

intervals

Results

488.0ms	7998×	body	128	valid
278.0ms	4571×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 188 to 166 computations (11.7% saved)

Details

analyze1.5s (21.7%)

sample41.0ms (0.6%)

simplify260.0ms (3.8%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite56.0ms (0.8%)

series447.0ms (6.5%)

simplify74.0ms (1.1%)

prune178.0ms (2.6%)

localize22.0ms (0.3%)

rewrite39.0ms (0.6%)

series205.0ms (3%)

simplify89.0ms (1.3%)

prune236.0ms (3.4%)

localize23.0ms (0.3%)

rewrite33.0ms (0.5%)

series454.0ms (6.6%)

simplify75.0ms (1.1%)

prune156.0ms (2.2%)

localize23.0ms (0.3%)

rewrite82.0ms (1.2%)

series1.1s (16.2%)

simplify81.0ms (1.2%)

prune220.0ms (3.2%)

regimes91.0ms (1.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (20.1%)

Profiling