Details

analyze2.3s (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

sample63.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	119×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

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 22 to 22 computations (0% saved)

localize15.0ms (0.1%)

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))

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_4550`
4×	`sum-log_binary64_4602`
2×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `*-un-lft-identity_binary64_4511` `flip-+_binary64_4485` `+-commutative_binary64_4441`
1×	`associate-+l+_binary64_4444`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 510 to 94 computations (81.6% saved)

series566.0ms (2.8%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

367.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
165.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5019	1056

prune70.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Error

0.0b

Counts

85 → 4

Compiler

Compiled 1037 to 137 computations (86.8% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
2.0b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
2.0b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
2.0b	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite182.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
18×	`cbrt-div_binary64_4543`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593` `flip3-+_binary64_4514` `flip-+_binary64_4485`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `frac-times_binary64_4521` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
7.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
7.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3740 to 429 computations (88.5% saved)

series1.8s (9.1%)

Error

0.0b

Counts

4 → 104

Calls

4 calls:

459.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (cbrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
399.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
398.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
387.0ms	(cbrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 12892 to 7921 computations (38.6% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5433	5500

prune251.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	191	4	195

Error

0.0b

Counts

195 → 4

Compiler

Compiled 7509 to 1421 computations (81.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.3b	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
33.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))

rewrite115.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_4542`
10×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
8×	`add-log-exp_binary64_4550`
6×	`unpow-prod-down_binary64_4590` `cube-prod_binary64_4539`
5×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
4×	`flip3-+_binary64_4514` `cube-div_binary64_4540` `flip-+_binary64_4485`
3×	`pow-unpow_binary64_4588`
2×	`cbrt-div_binary64_4543` `unpow3_binary64_4577` `cube-mult_binary64_4541` `sqr-pow_binary64_4483` `sum-log_binary64_4602` `+-commutative_binary64_4441`
1×	`pow1/3_binary64_4593` `rem-cbrt-cube_binary64_4535` `pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `rem-cube-cbrt_binary64_4534`

Counts

4 → 70

Calls

4 calls:

10.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
4.0ms	(+.f64 (.f64 t z) (.f64 x y))

Compiler

Compiled 1795 to 566 computations (68.5% saved)

series1.1s (5.6%)

Error

0.0b

Counts

4 → 132

Calls

4 calls:

335.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)) (*.f64 a b))
279.0ms	(pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3)
184.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3))
180.0ms	(+.f64 (.f64 t z) (.f64 x y))

Compiler

Compiled 5082 to 3848 computations (24.3% saved)

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5018	3618

prune440.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	202	4	206

Error

0.0b

Counts

206 → 4

Compiler

Compiled 3591 to 871 computations (75.7% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b))))
1.0b	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))
1.1b	(+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (*.f64 a b) 3))
37.8b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))))

rewrite278.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`*-un-lft-identity_binary64_4511`
18×	`add-sqr-sqrt_binary64_4533`
16×	`add-cube-cbrt_binary64_4546`
15×	`times-frac_binary64_4517`
8×	`add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547`
7×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
6×	`pow1_binary64_4572` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `associate-+r+_binary64_4443`
5×	`sum-cubes_binary64_4512` `distribute-lft-out_binary64_4462` `associate-/l*_binary64_4456`
4×	`frac-times_binary64_4521` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477` `associate--l+_binary64_4448`
3×	`associate-/r_binary64_4455` `flip3--_binary64_4515` `flip--_binary64_4486` `associate-l_binary64_4452` `associate-r*_binary64_4451`
2×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457` `sum-log_binary64_4602` `+-commutative_binary64_4441` `associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442`

Counts

4 → 101

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))))
18.0ms	(+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (*.f64 a b) 3))
15.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))
15.0ms	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b))))

Compiler

Compiled 7007 to 1132 computations (83.8% saved)

series9.7s (48.1%)

Error

0.0b

Counts

4 → 198

Calls

4 calls:

4.8s	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))))
1.9s	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (*.f64 a b))))
1.5s	(+.f64 (pow.f64 (+.f64 (.f64 t z) (.f64 x y)) 3) (pow.f64 (*.f64 a b) 3))
898.0ms	(.f64 (+.f64 (.f64 t z) (.f64 x y)) (-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a b)))

Compiler

Compiled 29256 to 17100 computations (41.6% saved)

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5417	15484

prune536.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	299	4	303

Error

0.0b

Counts

303 → 4

Compiler

Compiled 16437 to 3071 computations (81.3% saved)

regimes518.0ms (2.6%)

Accuracy

Total 0.0b remaining (34.9%)

Threshold costs 0.0b (34.9%)

Compiler

Compiled 5027 to 3344 computations (33.5% saved)

bsearch0.0ms (0%)

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample1.6s (7.8%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	128	valid
173.0ms	3997×	body	128	invalid

Compiler

Compiled 474 to 319 computations (32.7% saved)

Details

analyze2.3s (11.5%)

sample63.0ms (0.3%)

simplify7.0ms (0%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite35.0ms (0.2%)

series566.0ms (2.8%)

simplify70.0ms (0.4%)

prune70.0ms (0.3%)

localize24.0ms (0.1%)

rewrite182.0ms (0.9%)

series1.8s (9.1%)

simplify88.0ms (0.4%)

prune251.0ms (1.2%)

localize23.0ms (0.1%)

rewrite115.0ms (0.6%)

series1.1s (5.6%)

simplify103.0ms (0.5%)

prune440.0ms (2.2%)

localize21.0ms (0.1%)

rewrite278.0ms (1.4%)

series9.7s (48.1%)

simplify169.0ms (0.8%)

prune536.0ms (2.7%)

regimes518.0ms (2.6%)

bsearch0.0ms (0%)

simplify49.0ms (0.2%)

end0.0ms (0%)

sample1.6s (7.8%)

Profiling