Details

analyze1.5s (12.9%)

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)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	139×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify269.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

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 (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`associate-*l/_binary64_359`
23×	`flip3--_binary64_418` `flip--_binary64_389`
18×	`add-log-exp_binary64_450` `add-sqr-sqrt_binary64_435`
16×	`*-un-lft-identity_binary64_414`
13×	`associate-l_binary64_357`
12×	`frac-sub_binary64_423` `frac-add_binary64_422`
8×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
6×	`diff-log_binary64_503` `associate-r_binary64_356`
4×	`sub-neg_binary64_407`
3×	`distribute-lft-out--_binary64_368` `difference-of-squares_binary64_383` `sum-log_binary64_502`
2×	`associate--l+_binary64_353` `*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `associate-+l+_binary64_349`
1×	`flip3-+_binary64_417` `associate--l-_binary64_354` `associate-+l-_binary64_351` `+-commutative_binary64_346` `flip-+_binary64_388` `distribute-lft-out_binary64_367` `difference-of-sqr-1_binary64_384`

Counts

4 → 93

Calls

4 calls:

14.0ms	(+.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)
8.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 y 1) z)

series591.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

327.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
174.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
53.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
36.0ms	(*.f64 (-.f64 y 1) z)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4933	3748
1	4933	3748

prune180.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

Compiler

Compiled 3993 to 2371 computations (40.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite88.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`cbrt-div_binary64_443`
85×	`flip3--_binary64_418` `flip--_binary64_389`
74×	`associate-*l/_binary64_359`
68×	`frac-sub_binary64_423`
36×	`frac-times_binary64_424`
25×	`cbrt-prod_binary64_442`
23×	`add-sqr-sqrt_binary64_435`
15×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
11×	`pow1_binary64_472`
9×	`pow1/3_binary64_493`
6×	`add-exp-log_binary64_449` `associate-l_binary64_357` `swap-sqr_binary64_381` `associate-r_binary64_356` `associate-*r/_binary64_358`
4×	`add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `unswap-sqr_binary64_382`
2×	`pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 139

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))) (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
7.0ms	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

series4.7s (40.9%)

Counts

4 → 12

Calls

4 calls:

1.6s	(.f64 (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))) (cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (*.f64 (-.f64 t 1) a))))
1.0s	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
1.0s	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))
1.0s	(cbrt.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)))

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5108	10649

prune646.0ms (5.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

Compiler

Compiled 12444 to 7975 computations (35.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_450`
13×	`*-un-lft-identity_binary64_414`
12×	`add-sqr-sqrt_binary64_435`
6×	`flip3--_binary64_418` `associate-l/_binary64_359` `pow1_binary64_472` `add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `associate-l*_binary64_357` `flip--_binary64_389` `sum-log_binary64_502`
4×	`diff-log_binary64_503` `frac-add_binary64_422`
3×	`distribute-lft-out--_binary64_368` `associate-r_binary64_356`
2×	`flip3-+_binary64_417` `difference-of-squares_binary64_383` `+-commutative_binary64_346` `sub-neg_binary64_407` `flip-+_binary64_388`
1×	`*-commutative_binary64_347` `associate-+l-_binary64_351` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate--r+_binary64_352` `distribute-lft-out_binary64_367` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `associate-+l+_binary64_349`

Counts

4 → 68

Calls

4 calls:

14.0ms	(+.f64 (-.f64 a (+.f64 (.f64 t a) (.f64 y z))) (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
6.0ms	(-.f64 a (+.f64 (.f64 t a) (.f64 y z)))
4.0ms	(+.f64 (.f64 t a) (.f64 y z))

series389.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(+.f64 (-.f64 a (+.f64 (.f64 t a) (.f64 y z))) (*.f64 (-.f64 (+.f64 y t) 2) b))
82.0ms	(-.f64 a (+.f64 (.f64 t a) (.f64 y z)))
71.0ms	(+.f64 (.f64 t a) (.f64 y z))
54.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4726	1853
1	4726	1853

prune82.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

Compiler

Compiled 2067 to 636 computations (69.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 t a) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 t a) (*.f64 y z))))
1.0b	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))
1.0b	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_435`
24×	`sqrt-prod_binary64_429`
23×	`pow1_binary64_472`
21×	`*-un-lft-identity_binary64_414`
16×	`sqrt-div_binary64_430` `add-cube-cbrt_binary64_446`
12×	`associate-l_binary64_357`
10×	`sqrt-pow1_binary64_431` `pow1/2_binary64_491`
9×	`associate-r_binary64_356`
8×	`flip3-+_binary64_417` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `swap-sqr_binary64_381` `flip-+_binary64_388`
5×	`pow-prod-up_binary64_481` `unswap-sqr_binary64_382`
4×	`associate-*l/_binary64_359` `pow-prod-down_binary64_482` `add-log-exp_binary64_450` `frac-times_binary64_424`
3×	`pow-sqr_binary64_387`
2×	`distribute-lft-out--_binary64_368` `-commutative_binary64_347` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `associate-r/_binary64_358` `rem-sqrt-square_binary64_427`
1×	`pow-plus_binary64_474` `flip3--_binary64_418` `difference-of-squares_binary64_383` `sqrt-unprod_binary64_433` `rem-square-sqrt_binary64_426` `distribute-lft-out_binary64_367` `flip--_binary64_389` `pow2_binary64_492`

Counts

4 → 110

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t a) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 t a) (*.f64 y z))))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
4.0ms	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))
4.0ms	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))

series391.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))
122.0ms	(sqrt.f64 (+.f64 (.f64 t a) (.f64 y z)))
78.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t a) (.f64 y z))) (sqrt.f64 (+.f64 (.f64 t a) (*.f64 y z))))
46.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5158	2097

prune121.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

Compiler

Compiled 3775 to 951 computations (74.8% saved)

regimes321.0ms (2.8%)

Compiler: Compiled 4002 to 3344 computations (16.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	167	31
1	167	31

end0.0ms (0%)

sample1.7s (14.6%)

Algorithm

1×

intervals

Results

450.0ms	7993×	body	128	valid
247.0ms	4499×	body	128	invalid
1.0ms	4×	body	512	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 607 to 507 computations (16.5% saved)

Details

analyze1.5s (12.9%)

sample40.0ms (0.3%)

simplify269.0ms (2.4%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite53.0ms (0.5%)

series591.0ms (5.2%)

simplify77.0ms (0.7%)

prune180.0ms (1.6%)

localize23.0ms (0.2%)

rewrite88.0ms (0.8%)

series4.7s (40.9%)

simplify102.0ms (0.9%)

prune646.0ms (5.7%)

localize12.0ms (0.1%)

rewrite41.0ms (0.4%)

series389.0ms (3.4%)

simplify54.0ms (0.5%)

prune82.0ms (0.7%)

localize14.0ms (0.1%)

rewrite46.0ms (0.4%)

series391.0ms (3.4%)

simplify54.0ms (0.5%)

prune121.0ms (1.1%)

regimes321.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (14.6%)

Profiling