Details

analyze896.0ms (16.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	23	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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample30.0ms (0.6%)

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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	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)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_4209`
1×	`sum-log_binary64_4261` `pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `flip3-+_binary64_4173` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

Compiler

Compiled 178 to 42 computations (76.4% saved)

series149.0ms (2.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

139.0ms

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

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify90.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune17.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

0.0b

Counts

36 → 3

Compiler

Compiled 299 to 55 computations (81.6% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.0b

Counts

3 → 3

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite110.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_4192`
24×	`sqrt-prod_binary64_4186`
21×	`pow1_binary64_4231`
16×	`sqrt-div_binary64_4187`
14×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
10×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188`
9×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
8×	`swap-sqr_binary64_4137`
6×	`add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate-l_binary64_4111` `associate-r_binary64_4110`
5×	`pow-prod-up_binary64_4240`
4×	`rem-sqrt-square_binary64_4183` `frac-times_binary64_4180` `unswap-sqr_binary64_4138`
3×	`pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
2×	`associate-l/_binary64_4113` `associate-r/_binary64_4112`
1×	`pow2_binary64_4251` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `sqrt-unprod_binary64_4190` `sqr-abs_binary64_4185` `rem-square-sqrt_binary64_4182` `*-commutative_binary64_4101` `sum-log_binary64_4261` `+-commutative_binary64_4100`

Counts

4 → 99

Calls

4 calls:

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

Compiler

Compiled 2841 to 323 computations (88.6% saved)

series567.0ms (10.6%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

143.0ms	(+.f64 (.f64 t z) (.f64 x y))
132.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
128.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
123.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3572 to 2026 computations (43.3% saved)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4879	2617
1	4879	2617

prune111.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	4	186

Error

0.0b

Counts

186 → 4

Compiler

Compiled 3253 to 451 computations (86.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 t z) (*.f64 t z))
1.4b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
3.0b	(.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 t z))))
37.6b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 x (.f64 y (-.f64 (.f64 x y) (*.f64 t z))))))

rewrite194.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`pow1_binary64_4231`
25×	`*-un-lft-identity_binary64_4170`
23×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
20×	`pow-prod-down_binary64_4241`
15×	`add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `times-frac_binary64_4176`
11×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
8×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119`
6×	`add-log-exp_binary64_4209`
5×	`sum-cubes_binary64_4171` `distribute-lft-out_binary64_4121` `associate-/l*_binary64_4115`
4×	`sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136` `associate-r/_binary64_4112` `associate-l*_binary64_4111` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
3×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-/r*_binary64_4114`
2×	`associate-/l/_binary64_4117` `associate-/r/_binary64_4116` `associate-r_binary64_4110` `*-commutative_binary64_4101` `pow-plus_binary64_4233`
1×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `flip3--_binary64_4174` `flip--_binary64_4145` `sum-log_binary64_4261` `+-commutative_binary64_4100` `pow2_binary64_4251` `swap-sqr_binary64_4137`

Counts

4 → 114

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 x (.f64 y (-.f64 (.f64 x y) (*.f64 t z))))))
10.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
9.0ms	(.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 t z))))
6.0ms	(.f64 (.f64 t z) (*.f64 t z))

Compiler

Compiled 5151 to 1271 computations (75.3% saved)

series1.8s (33.6%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

811.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 t z) (.f64 t z)) (.f64 x (.f64 y (-.f64 (.f64 x y) (*.f64 t z))))))
557.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
291.0ms	(.f64 x (.f64 y (-.f64 (.f64 x y) (.f64 t z))))
76.0ms	(.f64 (.f64 t z) (*.f64 t z))

Compiler

Compiled 4722 to 2601 computations (44.9% saved)

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4978	4307
1	4978	4307

prune207.0ms (3.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	192	4	196

Error

0.0b

Counts

196 → 4

Compiler

Compiled 6255 to 1680 computations (73.1% saved)

regimes169.0ms (3.1%)

Accuracy

Total 0.0b remaining (27.9%)

Threshold costs 0.0b (27.9%)

Compiler

Compiled 1672 to 1095 computations (34.5% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

Remove

(sort z t)

(sort x y)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample756.0ms (14.1%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
34.0ms	1306×	body	128	invalid

Compiler

Compiled 249 to 166 computations (33.3% saved)

Details

analyze896.0ms (16.7%)

sample30.0ms (0.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite13.0ms (0.2%)

series149.0ms (2.8%)

simplify90.0ms (1.7%)

prune17.0ms (0.3%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite110.0ms (2.1%)

series567.0ms (10.6%)

simplify89.0ms (1.7%)

prune111.0ms (2.1%)

localize15.0ms (0.3%)

rewrite194.0ms (3.6%)

series1.8s (33.6%)

simplify89.0ms (1.7%)

prune207.0ms (3.9%)

regimes169.0ms (3.1%)

bsearch0.0ms (0%)

simplify22.0ms (0.4%)

end0.0ms (0%)

sample756.0ms (14.1%)

Profiling