Details

analyze293.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify195.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	542	10
1	542	10

prune5.0ms (0.3%)

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 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
6×	`associate-r_binary64_707` `cancel-sign-sub-inv_binary64_733`
5×	`add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `frac-times_binary64_777` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
3×	`add-exp-log_binary64_805` `pow1_binary64_828` `flip-+_binary64_741` `flip3-+_binary64_770` `flip--_binary64_742` `add-cbrt-cube_binary64_803` `flip3--_binary64_771`
2×	`sub-neg_binary64_760` `associate-r/_binary64_709` `associate-l/_binary64_710` `difference-of-squares_binary64_736`
1×	`unswap-sqr_binary64_735` `distribute-lft-out_binary64_718` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `distribute-lft-out--_binary64_719` `pow-prod-down_binary64_838`

Counts

1 → 38

Calls

1 calls:

11.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series55.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

55.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify57.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	608
1	4972	608

prune49.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

Compiler

Compiled 832 to 461 computations (44.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0b	(*.f64 (+.f64 x y) (neg.f64 z))

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_707`
8×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
7×	`add-log-exp_binary64_806`
6×	`flip-+_binary64_741` `associate-*l/_binary64_710` `flip3-+_binary64_770` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708` `frac-add_binary64_775` `add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`sum-log_binary64_858` `distribute-lft-neg-in_binary64_724` `distribute-rgt-neg-in_binary64_725`
2×	`distribute-rgt-neg-out_binary64_727`
1×	`unswap-sqr_binary64_735` `distribute-lft-out_binary64_718` `associate-+l+_binary64_700` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `neg-mul-1_binary64_763` `+-commutative_binary64_697` `unsub-neg_binary64_761` `pow-prod-down_binary64_838`

Counts

2 → 47

Calls

2 calls:

9.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
7.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))

series128.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
62.0ms	(*.f64 (+.f64 x y) (neg.f64 z))

simplify63.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4955	787
1	4955	787

prune39.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Merged error: 0.0b

Counts

55 → 2

Compiler

Compiled 851 to 264 computations (69% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

3.5b	(.f64 (+.f64 x y) (-.f64 1 (.f64 z z)))
7.1b	(/.f64 (.f64 (+.f64 x y) (-.f64 1 (.f64 z z))) (+.f64 1 z))

rewrite29.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_767`
9×	`add-exp-log_binary64_805` `add-sqr-sqrt_binary64_789` `add-cbrt-cube_binary64_803`
8×	`frac-times_binary64_777` `associate-/l/_binary64_714`
7×	`flip-+_binary64_741` `flip3-+_binary64_770`
6×	`flip--_binary64_742` `flip3--_binary64_771` `add-cube-cbrt_binary64_802`
5×	`associate-r_binary64_707`
4×	`associate-l_binary64_708` `associate-/r_binary64_711` `pow1_binary64_828` `times-frac_binary64_773` `associate-r/_binary64_709` `associate-*l/_binary64_710`
3×	`distribute-lft-out_binary64_718`
2×	`cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `associate-/r/_binary64_713` `sub-neg_binary64_760` `prod-exp_binary64_816` `add-log-exp_binary64_806` `distribute-rgt-in_binary64_717` `cancel-sign-sub-inv_binary64_733` `distribute-lft-in_binary64_716` `div-exp_binary64_818` `difference-of-squares_binary64_736`
1×	`frac-2neg_binary64_778` `unswap-sqr_binary64_735` `-commutative_binary64_698` `associate-/l_binary64_712` `pow-prod-down_binary64_838` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

2 → 66

Calls

2 calls:

13.0ms	(/.f64 (.f64 (+.f64 x y) (-.f64 1 (.f64 z z))) (+.f64 1 z))
10.0ms	(.f64 (+.f64 x y) (-.f64 1 (.f64 z z)))

series277.0ms (14.8%)

Counts

2 → 6

Calls

2 calls:

184.0ms	(/.f64 (.f64 (+.f64 x y) (-.f64 1 (.f64 z z))) (+.f64 1 z))
93.0ms	(.f64 (+.f64 x y) (-.f64 1 (.f64 z z)))

simplify58.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5688	1346

prune61.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Merged error: 0.0b

Counts

74 → 2

Compiler

Compiled 1422 to 703 computations (50.6% saved)

regimes34.0ms (1.8%)

Compiler: Compiled 104 to 98 computations (5.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	13
1	51	13

end0.0ms (0%)

sample459.0ms (24.5%)

Algorithm

1×

intervals

Results

202.0ms	7998×	body	128	valid
14.0ms	589×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 40 to 35 computations (12.5% saved)

Details

analyze293.0ms (15.6%)

sample14.0ms (0.7%)

simplify195.0ms (10.4%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite14.0ms (0.7%)

series55.0ms (2.9%)

simplify57.0ms (3.1%)

prune49.0ms (2.6%)

localize6.0ms (0.3%)

rewrite20.0ms (1.1%)

series128.0ms (6.9%)

simplify63.0ms (3.4%)

prune39.0ms (2.1%)

localize8.0ms (0.4%)

rewrite29.0ms (1.5%)

series277.0ms (14.8%)

simplify58.0ms (3.1%)

prune61.0ms (3.3%)

regimes34.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample459.0ms (24.5%)

Profiling