Details

analyze2.3s (22.4%)

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
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample58.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
7.0ms	113×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune4.0ms (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 22 to 22 computations (0% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238`
2×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182`
1×	`associate-+l+_binary64_3080`

Counts

2 → 24

Calls

2 calls:

17.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
8.0ms	(+.f64 (.f64 x y) (.f64 z t))

series185.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

112.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
72.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5019	546

prune48.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

Compiler

Compiled 587 to 131 computations (77.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `pow-prod-up_binary64_3217` `associate-r/_binary64_3089` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.0s (9.9%)

Counts

4 → 12

Calls

4 calls:

297.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
252.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
240.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
235.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5018	2183

prune189.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

Compiler

Compiled 3667 to 661 computations (82% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.4b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.4b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
27.8b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod_binary64_3178`
14×	`add-sqr-sqrt_binary64_3169`
10×	`*-un-lft-identity_binary64_3147`
9×	`difference-of-squares_binary64_3116`
8×	`cbrt-div_binary64_3179` `add-cube-cbrt_binary64_3182`
6×	`unpow2_binary64_3212` `sqr-pow_binary64_3119`
4×	`pow1/3_binary64_3229` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-log-exp_binary64_3186`
2×	`flip--_binary64_3122` `flip-+_binary64_3121` `flip3--_binary64_3151` `flip3-+_binary64_3150`
1×	`distribute-lft-out--_binary64_3099`

Counts

4 → 62

Calls

4 calls:

11.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))
6.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series974.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
239.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
236.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5096	1586

prune181.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

Compiler

Compiled 3736 to 877 computations (76.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a b) (*.f64 a b))
0.3b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
2.2b	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
28.5b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))

rewrite124.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1_binary64_3208`
20×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
19×	`add-sqr-sqrt_binary64_3169`
18×	`pow-prod-down_binary64_3218`
17×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
12×	`times-frac_binary64_3153`
9×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `add-log-exp_binary64_3186`
5×	`difference-of-squares_binary64_3116` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
4×	`frac-times_binary64_3157` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-/l_binary64_3092` `associate-l*_binary64_3088`
3×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-/r*_binary64_3091` `pow-plus_binary64_3210`
2×	`-commutative_binary64_3078` `associate-l/_binary64_3090` `associate--l+_binary64_3084` `associate-/l/_binary64_3094` `distribute-lft-in_binary64_3096` `pow2_binary64_3228` `associate-/r/_binary64_3093` `distribute-rgt-in_binary64_3097` `associate-*r/_binary64_3089`
1×	`unswap-sqr_binary64_3115` `clear-num_binary64_3146` `cancel-sign-sub-inv_binary64_3113` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 120

Calls

4 calls:

37.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
21.0ms	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
19.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
12.0ms	(.f64 (.f64 a b) (*.f64 a b))

series1.5s (15%)

Counts

4 → 12

Calls

4 calls:

828.0ms	(-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b)))
563.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (.f64 z t))) (.f64 (.f64 a b) (.f64 a b))) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))
107.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 x y) (*.f64 z t)))
48.0ms	(.f64 (.f64 a b) (*.f64 a b))

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4934	3325
1	4934	3325

prune238.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	132	4	136

Merged error: 0b

Counts

136 → 4

Compiler

Compiled 5055 to 830 computations (83.6% saved)

regimes469.0ms (4.6%)

Compiler: Compiled 2783 to 1881 computations (32.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms (0%)

sample2.0s (19.3%)

Algorithm

1×

intervals

Results

567.0ms	8000×	body	128	valid
276.0ms	3971×	body	128	invalid

Compiler

Compiled 270 to 186 computations (31.1% saved)

Details

analyze2.3s (22.4%)

sample58.0ms (0.6%)

simplify169.0ms (1.6%)

prune4.0ms (0%)

localize17.0ms (0.2%)

rewrite28.0ms (0.3%)

series185.0ms (1.8%)

simplify113.0ms (1.1%)

prune48.0ms (0.5%)

localize24.0ms (0.2%)

rewrite58.0ms (0.6%)

series1.0s (9.9%)

simplify125.0ms (1.2%)

prune189.0ms (1.8%)

localize43.0ms (0.4%)

rewrite45.0ms (0.4%)

series974.0ms (9.5%)

simplify127.0ms (1.2%)

prune181.0ms (1.8%)

localize26.0ms (0.2%)

rewrite124.0ms (1.2%)

series1.5s (15%)

simplify187.0ms (1.8%)

prune238.0ms (2.3%)

regimes469.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (19.3%)

Profiling