Details

analyze559.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	45×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	10
1	158	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
1×	`cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `flip3--_binary64_3833` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829` `sub-neg_binary64_3822` `add-sqr-sqrt_binary64_3851` `diff-log_binary64_3921`

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

series41.0ms (1%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4946	220
1	4946	220

prune13.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.0b

Counts

16 → 4

Compiler

Compiled 236 to 69 computations (70.8% saved)

localize9.0ms (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))))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`flip--_binary64_3804` `flip3--_binary64_3833` `pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `associate-l/_binary64_3772` `pow-sqr_binary64_3802` `associate-r/_binary64_3771`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series628.0ms (16%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
154.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
152.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
141.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4939	2204
1	4939	2204

prune97.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

Counts

103 → 5

Compiler

Compiled 3284 to 587 computations (82.1% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.1b	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
11.2b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))) (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))))
22.9b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))
22.9b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

rewrite71.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-div_binary64_3861`
27×	`difference-of-squares_binary64_3798`
26×	`cbrt-prod_binary64_3860`
25×	`add-sqr-sqrt_binary64_3851`
19×	`unpow2_binary64_3894` `sqr-pow_binary64_3801`
16×	`add-exp-log_binary64_3867`
13×	`*-un-lft-identity_binary64_3829`
9×	`flip--_binary64_3804` `flip3--_binary64_3833`
8×	`associate-/l/_binary64_3776` `add-cbrt-cube_binary64_3865` `associate-/r/_binary64_3775` `frac-times_binary64_3839`
7×	`add-cube-cbrt_binary64_3864`
6×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `cancel-sign-sub-inv_binary64_3795` `flip-+_binary64_3803`
4×	`div-exp_binary64_3880` `prod-exp_binary64_3878` `pow1_binary64_3890` `associate-l/_binary64_3772` `cbrt-undiv_binary64_3863` `associate-r/_binary64_3771` `cbrt-unprod_binary64_3862`
3×	`distribute-lft-out--_binary64_3781`
2×	`pow1/3_binary64_3911`
1×	`div-inv_binary64_3826` `times-frac_binary64_3835` `clear-num_binary64_3828` `unpow-prod-down_binary64_3908` `associate-/l_binary64_3774` `associate-/r_binary64_3773` `frac-2neg_binary64_3840` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 110

Calls

4 calls:

28.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))) (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))))
7.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
7.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))
6.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

series612.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))) (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))))
140.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))
136.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))
99.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4958	3866
1	4958	3866

prune215.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Error

Counts

127 → 5

Compiler

Compiled 7113 to 2134 computations (70% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
0.8b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
0.8b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3851`
24×	`sqrt-prod_binary64_3845`
21×	`pow1_binary64_3890`
16×	`sqrt-div_binary64_3846`
14×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
10×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
9×	`flip--_binary64_3804` `flip3--_binary64_3833`
8×	`swap-sqr_binary64_3796`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-r_binary64_3769` `associate-l_binary64_3770`
5×	`pow-prod-up_binary64_3899`
4×	`unswap-sqr_binary64_3797` `rem-sqrt-square_binary64_3842` `frac-times_binary64_3839`
3×	`pow-prod-down_binary64_3900` `pow-sqr_binary64_3802`
2×	`associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`cancel-sign-sub-inv_binary64_3795` `sqr-abs_binary64_3844` `prod-exp_binary64_3878` `rem-square-sqrt_binary64_3841` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910` `sqrt-unprod_binary64_3849` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
5.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series259.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
85.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
42.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
40.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4927	1980
1	4927	1980

prune77.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	112	5	117

Error

Counts

117 → 5

Compiler

Compiled 2316 to 346 computations (85.1% saved)

regimes129.0ms (3.3%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

Compiler

Compiled 1224 to 759 computations (38% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample657.0ms (16.8%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
41.0ms	1422×	body	128	invalid

Compiler

Compiled 185 to 118 computations (36.2% saved)

Details

analyze559.0ms (14.3%)

sample18.0ms (0.5%)

simplify103.0ms (2.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite4.0ms (0.1%)

series41.0ms (1%)

simplify66.0ms (1.7%)

prune13.0ms (0.3%)

localize9.0ms (0.2%)

rewrite33.0ms (0.8%)

series628.0ms (16%)

simplify73.0ms (1.9%)

prune97.0ms (2.5%)

localize20.0ms (0.5%)

rewrite71.0ms (1.8%)

series612.0ms (15.6%)

simplify99.0ms (2.5%)

prune215.0ms (5.5%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series259.0ms (6.6%)

simplify88.0ms (2.2%)

prune77.0ms (2%)

regimes129.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample657.0ms (16.8%)

Profiling