Details

analyze728.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5061	112
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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Symmetry

(sort z t)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify172.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	5014	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

0.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite84.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_4874`
12×	`*-un-lft-identity_binary64_4852` `flip3--_binary64_4856` `flip--_binary64_4827`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
8×	`add-cube-cbrt_binary64_4887` `frac-times_binary64_4862` `associate-/r/_binary64_4798`
6×	`cancel-sign-sub-inv_binary64_4818`
5×	`associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`pow1_binary64_4913` `associate-l/_binary64_4795` `associate-r/_binary64_4794` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801`
3×	`times-frac_binary64_4858` `associate-/l*_binary64_4797`
2×	`prod-exp_binary64_4901` `div-exp_binary64_4903` `add-log-exp_binary64_4891` `cbrt-undiv_binary64_4886` `cbrt-unprod_binary64_4885` `sub-neg_binary64_4845` `difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804`
1×	`frac-2neg_binary64_4863` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/r_binary64_4796` `pow-prod-down_binary64_4923` `unswap-sqr_binary64_4820` `-commutative_binary64_4783`

Counts

2 → 67

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

Compiler

Compiled 1382 to 448 computations (67.6% saved)

series465.0ms (8.1%)

Error

0.5b

Counts

2 → 38

Calls

2 calls:

278.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
156.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

Compiler

Compiled 1893 to 1271 computations (32.9% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5018	1680

prune84.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Error

Counts

106 → 5

Compiler

Compiled 1804 to 577 computations (68% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

rewrite135.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

56×	`add-sqr-sqrt_binary64_4874`
42×	`times-frac_binary64_4858`
40×	`*-un-lft-identity_binary64_4852`
36×	`associate-r_binary64_4792`
26×	`add-cube-cbrt_binary64_4887` `cbrt-prod_binary64_4883`
25×	`add-exp-log_binary64_4890`
18×	`add-cbrt-cube_binary64_4888`
11×	`associate-l_binary64_4793`
8×	`prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
7×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804`
6×	`pow1_binary64_4913` `unswap-sqr_binary64_4820`
4×	`add-log-exp_binary64_4891` `associate-/r/_binary64_4798`
3×	`pow1/3_binary64_4934`
2×	`div-inv_binary64_4849` `flip3--_binary64_4856` `flip--_binary64_4827`
1×	`pow-prod-down_binary64_4923` `frac-times_binary64_4862` `associate-l/_binary64_4795` `associate-r/_binary64_4794` `*-commutative_binary64_4783`

Counts

4 → 110

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3003 to 669 computations (77.7% saved)

series506.0ms (8.8%)

Error

Counts

4 → 26

Calls

4 calls:

275.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
71.0ms	(cbrt.f64 x)
70.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 x)

Compiler

Compiled 1703 to 1160 computations (31.9% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4995	2234
1	4995	2234

prune111.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 2902 to 908 computations (68.7% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.8b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite181.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

210×	`times-frac_binary64_4858`
176×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
88×	`add-cube-cbrt_binary64_4887`
44×	`difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804`
24×	`associate-/l*_binary64_4797`
16×	`associate-/r/_binary64_4798`
10×	`associate-/r*_binary64_4796`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
8×	`div-inv_binary64_4849` `flip3--_binary64_4856` `flip--_binary64_4827`
4×	`div-exp_binary64_4903` `cbrt-undiv_binary64_4886`
2×	`pow1_binary64_4913` `add-log-exp_binary64_4891` `frac-2neg_binary64_4863` `clear-num_binary64_4851`
1×	`associate-/l/_binary64_4799`

Counts

2 → 185

Calls

2 calls:

14.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 4318 to 1143 computations (73.5% saved)

series368.0ms (6.4%)

Error

Counts

2 → 29

Calls

2 calls:

265.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
85.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 1580 to 1083 computations (31.5% saved)

simplify110.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4989	5173
1	4989	5173

prune160.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	214	4	218

Error

Counts

218 → 4

Compiler

Compiled 4466 to 1063 computations (76.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
0.9b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
7.5b	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

rewrite146.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-exp-log_binary64_4890`
20×	`add-sqr-sqrt_binary64_4874` `associate-r_binary64_4792`
19×	`add-cbrt-cube_binary64_4888`
18×	`flip3--_binary64_4856` `flip--_binary64_4827`
16×	`*-un-lft-identity_binary64_4852` `associate-/r/_binary64_4798`
14×	`prod-exp_binary64_4901`
12×	`add-cube-cbrt_binary64_4887` `frac-times_binary64_4862`
10×	`pow1_binary64_4913`
8×	`div-exp_binary64_4903` `associate-l_binary64_4793`
7×	`associate-*r/_binary64_4794`
6×	`cbrt-unprod_binary64_4885` `times-frac_binary64_4858` `associate-*l/_binary64_4795` `cancel-sign-sub-inv_binary64_4818`
4×	`1-exp_binary64_4896` `rec-exp_binary64_4902` `cbrt-undiv_binary64_4886` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801`
3×	`pow-prod-down_binary64_4923` `add-log-exp_binary64_4891` `associate-/l*_binary64_4797`
2×	`unswap-sqr_binary64_4820` `div-inv_binary64_4849` `*-commutative_binary64_4783` `pow-flip_binary64_4926` `sub-neg_binary64_4845` `difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804`
1×	`un-div-inv_binary64_4850` `inv-pow_binary64_4937` `frac-2neg_binary64_4863` `clear-num_binary64_4851` `associate-/r*_binary64_4796`

Counts

3 → 114

Calls

3 calls:

15.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))

Compiler

Compiled 2535 to 1013 computations (60% saved)

series602.0ms (10.5%)

Error

Counts

3 → 52

Calls

3 calls:

264.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
156.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
141.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))

Compiler

Compiled 2924 to 2045 computations (30.1% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5372	2607

prune123.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	166	4	170

Error

Counts

170 → 4

Compiler

Compiled 2986 to 1117 computations (62.6% saved)

regimes281.0ms (4.9%)

Accuracy

Total 0.8b remaining (99.5%)

Threshold costs 0.8b (99.5%)

Compiler

Compiled 2551 to 2216 computations (13.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	28
1	73	28

Compiler

Compiled 36 to 26 computations (27.8% saved)

end0.0ms (0%)

sample1.2s (20.5%)

Algorithm

1×

intervals

Results

273.0ms	8000×	body	128	valid
14.0ms	400×	body	128	invalid

Compiler

Compiled 359 to 313 computations (12.8% saved)

Details

analyze728.0ms (12.7%)

sample27.0ms (0.5%)

simplify172.0ms (3%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite84.0ms (1.5%)

series465.0ms (8.1%)

simplify62.0ms (1.1%)

prune84.0ms (1.5%)

localize14.0ms (0.2%)

rewrite135.0ms (2.4%)

series506.0ms (8.8%)

simplify89.0ms (1.5%)

prune111.0ms (1.9%)

localize11.0ms (0.2%)

rewrite181.0ms (3.2%)

series368.0ms (6.4%)

simplify110.0ms (1.9%)

prune160.0ms (2.8%)

localize9.0ms (0.2%)

rewrite146.0ms (2.5%)

series602.0ms (10.5%)

simplify58.0ms (1%)

prune123.0ms (2.2%)

regimes281.0ms (4.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.2s (20.5%)

Profiling