Details

analyze970.0ms (14.7%)

Algorithm

1×

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify276.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4896	16
1	4896	16

prune3.0ms (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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.0b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_15937`
71×	`*-un-lft-identity_binary64_15916`
51×	`times-frac_binary64_15922`
31×	`associate-r_binary64_15858`
27×	`add-cube-cbrt_binary64_15948`
22×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
10×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
5×	`associate-/r_binary64_15862` `pow1_binary64_15974` `add-log-exp_binary64_15952` `associate-/l_binary64_15863`
4×	`associate-/r/_binary64_15864`
3×	`flip3--_binary64_15920` `associate-l_binary64_15859` `flip--_binary64_15891`
2×	`div-exp_binary64_15964` `associate-/l/_binary64_15865` `cbrt-undiv_binary64_15947` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `unswap-sqr_binary64_15884` `div-inv_binary64_15913`
1×	`div-sub_binary64_15921` `clear-num_binary64_15915` `pow-prod-down_binary64_15984` `associate-r/_binary64_15860` `flip3-+_binary64_15919` `+-commutative_binary64_15848` `sum-log_binary64_16004` `frac-2neg_binary64_15927` `-commutative_binary64_15849` `flip-+_binary64_15890`

Counts

3 → 113

Calls

3 calls:

20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series472.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

243.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
161.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
67.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6250	2068

prune111.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

Compiler

Compiled 2339 to 501 computations (78.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
0.0b	(/.f64 1 (-.f64 z a))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
2.0b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

rewrite55.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_15937`
42×	`*-un-lft-identity_binary64_15916`
32×	`times-frac_binary64_15922` `add-exp-log_binary64_15951`
25×	`add-cube-cbrt_binary64_15948`
22×	`associate-r_binary64_15858`
20×	`add-cbrt-cube_binary64_15949`
13×	`prod-exp_binary64_15962`
12×	`pow1_binary64_15974`
8×	`associate-r/_binary64_15860` `associate-l*_binary64_15859` `distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
7×	`cbrt-unprod_binary64_15946`
6×	`div-exp_binary64_15964` `flip3--_binary64_15920` `add-log-exp_binary64_15952` `flip--_binary64_15891`
5×	`associate-/r*_binary64_15862`
4×	`associate-/r/_binary64_15864` `pow-prod-down_binary64_15984` `frac-times_binary64_15926` `associate-*l/_binary64_15861`
3×	`rec-exp_binary64_15963` `cbrt-undiv_binary64_15947` `associate-/l*_binary64_15863` `1-exp_binary64_15957` `unswap-sqr_binary64_15884`
2×	`un-div-inv_binary64_15914` `*-commutative_binary64_15849` `div-inv_binary64_15913`
1×	`clear-num_binary64_15915` `inv-pow_binary64_15998` `pow-flip_binary64_15987` `flip3-+_binary64_15919` `+-commutative_binary64_15848` `sum-log_binary64_16004` `frac-2neg_binary64_15927` `flip-+_binary64_15890`

Counts

4 → 130

Calls

4 calls:

16.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
14.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))
7.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
6.0ms	(/.f64 1 (-.f64 z a))

series518.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
146.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))
77.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
48.0ms	(/.f64 1 (-.f64 z a))

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4978	1917
1	4978	1917

prune109.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0.0b

Counts

149 → 7

Compiler

Compiled 2542 to 862 computations (66.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
2.9b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
2.9b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
2.9b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite77.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64_15937`
98×	`*-un-lft-identity_binary64_15916`
93×	`cbrt-prod_binary64_15944`
75×	`times-frac_binary64_15922`
38×	`add-cube-cbrt_binary64_15948`
30×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
9×	`pow1_binary64_15974` `add-exp-log_binary64_15951`
7×	`add-cbrt-cube_binary64_15949` `cbrt-div_binary64_15945`
6×	`associate-/r/_binary64_15864`
4×	`associate-*r/_binary64_15860` `add-log-exp_binary64_15952`
3×	`pow-prod-down_binary64_15984` `flip3--_binary64_15920` `pow1/3_binary64_15995` `associate-l_binary64_15859` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `flip--_binary64_15891` `div-inv_binary64_15913`
1×	`frac-times_binary64_15926` `associate-l/_binary64_15861` `-commutative_binary64_15849` `unswap-sqr_binary64_15884` `associate-r_binary64_15858`

Counts

4 → 142

Calls

4 calls:

30.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

series1.2s (17.6%)

Counts

4 → 12

Calls

4 calls:

421.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
252.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
248.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
242.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5385	3541

prune155.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	154	7	161

Merged error: 0.0b

Counts

161 → 7

Compiler

Compiled 5756 to 890 computations (84.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
8.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

rewrite69.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_15937`
60×	`*-un-lft-identity_binary64_15916`
50×	`times-frac_binary64_15922`
46×	`associate-r_binary64_15858`
42×	`cbrt-prod_binary64_15944`
28×	`add-cube-cbrt_binary64_15948`
25×	`add-exp-log_binary64_15951`
20×	`cbrt-div_binary64_15945`
18×	`add-cbrt-cube_binary64_15949`
16×	`distribute-lft-out--_binary64_15870` `difference-of-squares_binary64_15885`
15×	`associate-l_binary64_15859`
10×	`associate-/r/_binary64_15864` `flip3--_binary64_15920` `flip--_binary64_15891`
8×	`prod-exp_binary64_15962` `cbrt-unprod_binary64_15946`
7×	`div-exp_binary64_15964` `cbrt-undiv_binary64_15947`
6×	`pow1_binary64_15974` `unswap-sqr_binary64_15884`
5×	`frac-times_binary64_15926`
4×	`add-log-exp_binary64_15952`
3×	`associate-r/_binary64_15860` `pow1/3_binary64_15995` `associate-l/_binary64_15861`
2×	`div-inv_binary64_15913`
1×	`pow-prod-down_binary64_15984` `*-commutative_binary64_15849`

Counts

4 → 136

Calls

4 calls:

40.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))
4.0ms	(cbrt.f64 (-.f64 z a))
4.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))

series914.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))
226.0ms	(cbrt.f64 (-.f64 z a))
209.0ms	(cbrt.f64 (-.f64 z a))
206.0ms	(cbrt.f64 (-.f64 z a))

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4947	3456
1	4947	3456

prune131.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	148	7	155

Merged error: 0b

Counts

155 → 7

Compiler

Compiled 4248 to 748 computations (82.4% saved)

regimes130.0ms (2%)

Compiler: Compiled 1016 to 776 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample1.0s (15.4%)

Algorithm

1×

intervals

Results

541.0ms	8000×	body	128	valid
38.0ms	745×	body	128	invalid

Compiler

Compiled 153 to 120 computations (21.6% saved)

Details

analyze970.0ms (14.7%)

sample29.0ms (0.4%)

simplify276.0ms (4.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite43.0ms (0.7%)

series472.0ms (7.1%)

simplify72.0ms (1.1%)

prune111.0ms (1.7%)

localize10.0ms (0.2%)

rewrite55.0ms (0.8%)

series518.0ms (7.9%)

simplify59.0ms (0.9%)

prune109.0ms (1.7%)

localize13.0ms (0.2%)

rewrite77.0ms (1.2%)

series1.2s (17.6%)

simplify87.0ms (1.3%)

prune155.0ms (2.4%)

localize15.0ms (0.2%)

rewrite69.0ms (1%)

series914.0ms (13.9%)

simplify92.0ms (1.4%)

prune131.0ms (2%)

regimes130.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (15.4%)

Profiling