Details

analyze666.0ms (16.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	70
1	314	70
0	4	4
1	4	4

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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	40×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.3%)

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)

localize6.0ms (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:

4.0ms

(-.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))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4946	220
1	4946	220

prune10.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

0.0b

Counts

16 → 2

Compiler

Compiled 214 to 57 computations (73.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
3.2b	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
3.3b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
35.7b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

rewrite63.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_3851`
30×	`*-un-lft-identity_binary64_3829`
27×	`times-frac_binary64_3835`
21×	`sqr-pow_binary64_3801`
20×	`add-cube-cbrt_binary64_3864` `difference-of-squares_binary64_3798`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
9×	`pow1_binary64_3890` `associate-/l*_binary64_3774`
8×	`add-log-exp_binary64_3868` `cancel-sign-sub-inv_binary64_3795` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
5×	`distribute-lft-out--_binary64_3781` `difference-cubes_binary64_3831`
4×	`associate-+r+_binary64_3761` `associate-*r/_binary64_3771`
3×	`flip3-+_binary64_3832` `pow-prod-down_binary64_3900` `flip-+_binary64_3803` `prod-exp_binary64_3878` `associate-/r_binary64_3773` `cbrt-unprod_binary64_3862` `associate-l*_binary64_3770`
2×	`flip--_binary64_3804` `associate-/l/_binary64_3776` `flip3--_binary64_3833` `associate-/r/_binary64_3775`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `cube-mult_binary64_3859` `sum-log_binary64_3920` `unpow3_binary64_3895` `cube-prod_binary64_3857` `clear-num_binary64_3828` `div-sub_binary64_3834` `unpow-prod-down_binary64_3908` `cbrt-undiv_binary64_3863` `+-commutative_binary64_3759` `-commutative_binary64_3760` `frac-2neg_binary64_3840` `associate-r*_binary64_3769` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 120

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
9.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
8.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))

series516.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
176.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
90.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))
64.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4981	5701
1	4981	5701

prune172.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Error

0.0b

Counts

134 → 4

Compiler

Compiled 5988 to 1375 computations (77% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.3b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
3.3b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
24.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
25.4b	(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))))

rewrite72.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_3851`
22×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
21×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
19×	`times-frac_binary64_3835`
17×	`associate-r_binary64_3769`
16×	`pow1_binary64_3890`
9×	`associate-r/_binary64_3771` `associate-l*_binary64_3770`
8×	`prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`
7×	`pow-prod-down_binary64_3900`
6×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
4×	`add-log-exp_binary64_3868` `associate-/r/_binary64_3775`
3×	`-commutative_binary64_3760` `associate-/l_binary64_3774` `associate-/r*_binary64_3773`
2×	`div-inv_binary64_3826` `div-exp_binary64_3880` `unswap-sqr_binary64_3797` `associate-/l/_binary64_3776` `frac-times_binary64_3839` `associate-*l/_binary64_3772` `cbrt-undiv_binary64_3863`
1×	`flip--_binary64_3804` `flip3--_binary64_3833` `clear-num_binary64_3828` `div-sub_binary64_3834` `frac-2neg_binary64_3840`

Counts

4 → 118

Calls

4 calls:

24.0ms	(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))))
11.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
9.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
8.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

series290.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
80.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
58.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
51.0ms	(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t)))))))

simplify109.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4951	4557
1	4951	4557

prune151.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Error

0.0b

Counts

134 → 4

Compiler

Compiled 7032 to 812 computations (88.5% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

3.3b	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
24.5b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
24.5b	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
24.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

rewrite50.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
9×	`times-frac_binary64_3835`
6×	`sqrt-prod_binary64_3845`
4×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `flip-+_binary64_3803` `distribute-rgt-in_binary64_3779` `sqrt-div_binary64_3846` `associate-*r/_binary64_3771` `distribute-lft-in_binary64_3778`
3×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `associate-/l_binary64_3774` `associate-/r_binary64_3773` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770`
2×	`rem-sqrt-square_binary64_3842` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `flip--_binary64_3804` `flip3--_binary64_3833` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `-commutative_binary64_3760` `frac-2neg_binary64_3840` `associate-r*_binary64_3769`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
8.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))
8.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))

series429.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
133.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
100.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (+.f64 (.f64 x y) (*.f64 z t))))))
57.0ms	(.f64 z (.f64 t (+.f64 (.f64 x y) (.f64 z t))))

simplify82.0ms (2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5894	3298

prune179.0ms (4.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Error

0.0b

Counts

102 → 4

Compiler

Compiled 7308 to 1385 computations (81% saved)

regimes205.0ms (5%)

Accuracy

Total 0.0b remaining (42.6%)

Threshold costs 0.0b (42.6%)

Compiler

Compiled 3730 to 1382 computations (62.9% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample787.0ms (19.2%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
36.0ms	1314×	body	128	invalid

Compiler

Compiled 543 to 207 computations (61.9% saved)

Details

analyze666.0ms (16.2%)

sample19.0ms (0.5%)

simplify13.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite4.0ms (0.1%)

series41.0ms (1%)

simplify69.0ms (1.7%)

prune10.0ms (0.2%)

localize16.0ms (0.4%)

rewrite63.0ms (1.5%)

series516.0ms (12.6%)

simplify101.0ms (2.5%)

prune172.0ms (4.2%)

localize15.0ms (0.4%)

rewrite72.0ms (1.8%)

series290.0ms (7.1%)

simplify109.0ms (2.7%)

prune151.0ms (3.7%)

localize23.0ms (0.6%)

rewrite50.0ms (1.2%)

series429.0ms (10.5%)

simplify82.0ms (2%)

prune179.0ms (4.4%)

regimes205.0ms (5%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample787.0ms (19.2%)

Profiling