Details

analyze938.0ms (16.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2700	70
1	2700	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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Symmetry

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	126	10
1	126	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

3.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
3.5b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

10×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
9×	`times-frac_binary64_18498`
4×	`add-exp-log_binary64_18530` `add-log-exp_binary64_18531` `add-cbrt-cube_binary64_18528`
3×	`associate-/l_binary64_18437` `associate-/r_binary64_18436`
2×	`pow1_binary64_18553` `flip3--_binary64_18496` `associate-/r/_binary64_18438` `flip--_binary64_18467`
1×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `diff-log_binary64_18584` `sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`

Counts

2 → 41

Calls

2 calls:

5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 636 to 145 computations (77.2% saved)

series403.0ms (6.9%)

Error

3.5b

Counts

2 → 30

Calls

2 calls:

315.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
77.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 582 to 441 computations (24.2% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5016	847

prune50.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Error

3.5b

Counts

72 → 7

Compiler

Compiled 850 to 204 computations (76% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 t z))
0.3b	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
3.4b	(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite109.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

84×	`times-frac_binary64_18498`
53×	`add-cube-cbrt_binary64_18527` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
16×	`add-exp-log_binary64_18530` `associate-/r*_binary64_18436`
10×	`add-cbrt-cube_binary64_18528`
8×	`div-exp_binary64_18543`
6×	`div-inv_binary64_18489` `associate-/l*_binary64_18437`
5×	`add-log-exp_binary64_18531`
4×	`pow1_binary64_18553` `cbrt-undiv_binary64_18526`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `flip3--_binary64_18496` `associate-/l/_binary64_18439` `flip--_binary64_18467` `1-exp_binary64_18536` `rec-exp_binary64_18542`
1×	`div-sub_binary64_18497` `inv-pow_binary64_18577` `pow-flip_binary64_18566` `associate-/r/_binary64_18438` `diff-log_binary64_18584` `sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`

Counts

3 → 118

Calls

3 calls:

7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)
3.0ms	(-.f64 y (*.f64 t z))

Compiler

Compiled 2311 to 727 computations (68.5% saved)

series384.0ms (6.6%)

Error

3.5b

Counts

3 → 51

Calls

3 calls:

182.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)
98.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
80.0ms	(-.f64 y (*.f64 t z))

Compiler

Compiled 1186 to 907 computations (23.5% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5148	2697

prune105.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	169	7	176

Error

3.5b

Counts

176 → 7

Compiler

Compiled 2447 to 624 computations (74.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
2.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))

rewrite114.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

39×	`add-sqr-sqrt_binary64_18514`
38×	`times-frac_binary64_18498`
34×	`add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
28×	`cbrt-prod_binary64_18523`
24×	`associate-r_binary64_18432`
18×	`add-exp-log_binary64_18530`
11×	`add-cbrt-cube_binary64_18528`
9×	`pow1_binary64_18553`
6×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-/l*_binary64_18437`
4×	`add-log-exp_binary64_18531` `associate-/r/_binary64_18438`
3×	`pow-prod-down_binary64_18563` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `unswap-sqr_binary64_18460` `associate-/r*_binary64_18436`
2×	`div-inv_binary64_18489` `flip3--_binary64_18496` `flip--_binary64_18467` `pow1/3_binary64_18574`
1×	`associate-r/_binary64_18434` `associate-l_binary64_18433` `-commutative_binary64_18423` `frac-2neg_binary64_18503` `clear-num_binary64_18491`

Counts

4 → 110

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
6.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2593 to 390 computations (85% saved)

series489.0ms (8.4%)

Error

3.5b

Counts

4 → 30

Calls

4 calls:

202.0ms	(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
116.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
79.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)

Compiler

Compiled 1306 to 961 computations (26.4% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	2112
1	4966	2112

prune93.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	140	7	147

Error

3.5b

Counts

147 → 7

Compiler

Compiled 2578 to 478 computations (81.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(/.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 t z))) (cbrt.f64 (-.f64 y (*.f64 t z)))))
7.9b	(cbrt.f64 (-.f64 y (*.f64 t z)))
7.9b	(cbrt.f64 (-.f64 y (*.f64 t z)))
7.9b	(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite83.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

18×	`cbrt-div_binary64_18524`
9×	`add-exp-log_binary64_18530` `add-cube-cbrt_binary64_18527` `flip3--_binary64_18496` `flip--_binary64_18467` `cbrt-prod_binary64_18523` `add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
8×	`associate-/r/_binary64_18438`
7×	`add-cbrt-cube_binary64_18528`
4×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `frac-times_binary64_18502`
3×	`pow1/3_binary64_18574` `times-frac_binary64_18498` `associate-/l*_binary64_18437`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-l/_binary64_18435` `associate-r/_binary64_18434`
1×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/r*_binary64_18436`

Counts

4 → 68

Calls

4 calls:

10.0ms	(/.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 t z))) (cbrt.f64 (-.f64 y (*.f64 t z)))))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 t z)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 t z)))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

Compiler

Compiled 2223 to 358 computations (83.9% saved)

series1.0s (17.5%)

Error

3.5b

Counts

4 → 61

Calls

4 calls:

430.0ms	(/.f64 x (.f64 (cbrt.f64 (-.f64 y (.f64 t z))) (cbrt.f64 (-.f64 y (*.f64 t z)))))
178.0ms	(cbrt.f64 (-.f64 y (*.f64 t z)))
174.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
172.0ms	(cbrt.f64 (-.f64 y (*.f64 t z)))

Compiler

Compiled 5486 to 3661 computations (33.3% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4963	2558
1	4963	2558

prune115.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	129	7	136

Error

3.5b

Counts

136 → 7

Compiler

Compiled 3664 to 846 computations (76.9% saved)

regimes417.0ms (7.2%)

Accuracy

Total 0.1b remaining (2.8%)

Threshold costs 0.1b (2.8%)

Compiler

Compiled 4539 to 2910 computations (35.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

Remove

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.1s (18.4%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
9.0ms	355×	body	128	invalid

Compiler

Compiled 695 to 446 computations (35.8% saved)

Details

analyze938.0ms (16.1%)

sample24.0ms (0.4%)

simplify12.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite48.0ms (0.8%)

series403.0ms (6.9%)

simplify63.0ms (1.1%)

prune50.0ms (0.9%)

localize6.0ms (0.1%)

rewrite109.0ms (1.9%)

series384.0ms (6.6%)

simplify90.0ms (1.5%)

prune105.0ms (1.8%)

localize9.0ms (0.2%)

rewrite114.0ms (2%)

series489.0ms (8.4%)

simplify69.0ms (1.2%)

prune93.0ms (1.6%)

localize15.0ms (0.3%)

rewrite83.0ms (1.4%)

series1.0s (17.5%)

simplify74.0ms (1.3%)

prune115.0ms (2%)

regimes417.0ms (7.2%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.1s (18.4%)

Profiling