Details

analyze1.8s (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	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
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample59.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
9.0ms	111×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify687.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (676.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune8.0ms (0.1%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.4b	(/.f64 -1/3 z)
4.1b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite70.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_20901`
56×	`times-frac_binary64_20885`
52×	`cancel-sign-sub-inv_binary64_20845`
49×	`*-un-lft-identity_binary64_20879`
47×	`add-cube-cbrt_binary64_20914`
28×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-+r+_binary64_20811`
13×	`associate-l_binary64_20820`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
6×	`associate-r_binary64_20819` `div-inv_binary64_20876`
5×	`pow1_binary64_20940` `add-log-exp_binary64_20918`
4×	`sub-neg_binary64_20872`
3×	`associate-/l_binary64_20824` `associate-/r_binary64_20823`
2×	`flip3--_binary64_20883` `flip--_binary64_20854` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `difference-of-squares_binary64_20848` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-*r/_binary64_20821` `frac-times_binary64_20889`
1×	`pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `distribute-lft-out--_binary64_20831` `-commutative_binary64_20810` `clear-num_binary64_20878` `flip-+_binary64_20853` `associate-l/_binary64_20822`

Counts

3 → 133

Calls

3 calls:

28.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
14.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
5.0ms	(/.f64 -1/3 z)

series1.1s (7.7%)

Counts

3 → 45

Calls

3 calls:

651.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
374.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
31.0ms	(/.f64 -1/3 z)

Compiler

Compiled 821 to 761 computations (7.3% saved)

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4965	2518
1	4965	2518

prune298.0ms (2.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	168	10	178
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	169	11	180

Error

0.0b

Counts

180 → 11

Compiler

Compiled 3068 to 1466 computations (52.2% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.9b	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite67.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64_20901`
44×	`times-frac_binary64_20885`
39×	`*-un-lft-identity_binary64_20879`
25×	`add-cube-cbrt_binary64_20914`
22×	`associate-r_binary64_20819`
14×	`difference-of-squares_binary64_20848`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
7×	`distribute-lft-out--_binary64_20831`
6×	`associate-/l*_binary64_20824`
5×	`pow1_binary64_20940` `add-log-exp_binary64_20918`
3×	`associate-l_binary64_20820` `associate-/r*_binary64_20823`
2×	`div-exp_binary64_20930` `associate-/l/_binary64_20826` `cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `div-inv_binary64_20876` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`flip3--_binary64_20883` `flip--_binary64_20854` `pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `-commutative_binary64_20810` `clear-num_binary64_20878` `flip-+_binary64_20853` `associate-r/_binary64_20821` `div-sub_binary64_20884`

Counts

3 → 94

Calls

3 calls:

27.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
18.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)
7.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))

series1.3s (9.5%)

Counts

3 → 57

Calls

3 calls:

659.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
357.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
293.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)

Compiler

Compiled 1035 to 954 computations (7.8% saved)

simplify157.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4942	2348
1	4942	2348

prune224.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Error

0.0b

Counts

162 → 10

Compiler

Compiled 2499 to 823 computations (67.1% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
4.0b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

rewrite73.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_20901`
26×	`cancel-sign-sub-inv_binary64_20845`
25×	`*-un-lft-identity_binary64_20879`
22×	`times-frac_binary64_20885`
21×	`add-cube-cbrt_binary64_20914`
14×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
6×	`associate-r_binary64_20819`
5×	`pow1_binary64_20940` `add-log-exp_binary64_20918`
4×	`associate-*r/_binary64_20821`
3×	`associate-l_binary64_20820` `associate-/r*_binary64_20823` `div-inv_binary64_20876`
2×	`flip3--_binary64_20883` `flip--_binary64_20854` `div-exp_binary64_20930` `associate-/l/_binary64_20826` `cbrt-undiv_binary64_20913` `sub-neg_binary64_20872` `difference-of-squares_binary64_20848` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `distribute-lft-out--_binary64_20831` `unswap-sqr_binary64_20847` `-commutative_binary64_20810` `clear-num_binary64_20878` `distribute-lft-out_binary64_20830` `flip-+_binary64_20853`

Counts

3 → 86

Calls

3 calls:

24.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
24.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
10.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))

series1.2s (8.8%)

Counts

3 → 54

Calls

3 calls:

646.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
399.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
168.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))

Compiler

Compiled 959 to 896 computations (6.6% saved)

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4972	1900
1	4972	1900

prune210.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Error

0.0b

Counts

150 → 8

Compiler

Compiled 2013 to 922 computations (54.2% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))))
0.5b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
3.9b	(/.f64 z (-.f64 y (/.f64 t y)))

rewrite118.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_20885`
159×	`add-sqr-sqrt_binary64_20901`
113×	`*-un-lft-identity_binary64_20879`
79×	`add-cube-cbrt_binary64_20914`
32×	`difference-of-squares_binary64_20848`
30×	`associate-/r*_binary64_20823`
16×	`distribute-lft-out--_binary64_20831`
11×	`associate-/r/_binary64_20825`
10×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
6×	`associate-/l*_binary64_20824` `div-inv_binary64_20876`
5×	`flip3--_binary64_20883` `flip--_binary64_20854` `add-log-exp_binary64_20918`
4×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
3×	`pow1_binary64_20940`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `distribute-lft-out_binary64_20830` `flip-+_binary64_20853`

Counts

3 → 167

Calls

3 calls:

44.0ms	(+.f64 x (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))))
22.0ms	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
20.0ms	(/.f64 z (-.f64 y (/.f64 t y)))

series1.3s (9.2%)

Counts

3 → 60

Calls

3 calls:

603.0ms	(+.f64 x (/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y)))))
356.0ms	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
308.0ms	(/.f64 z (-.f64 y (/.f64 t y)))

Compiler

Compiled 1265 to 1133 computations (10.4% saved)

simplify178.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5046	5042

prune340.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	225	2	227
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	228	7	235

Error

0.0b

Counts

235 → 7

Compiler

Compiled 4319 to 1381 computations (68% saved)

regimes1.3s (9.4%)

Accuracy

Total 0.4b remaining (98.6%)

Threshold costs 0.4b (98.6%)

Compiler

Compiled 4356 to 3681 computations (15.5% saved)

bsearch64.0ms (0.5%)

Steps

Iters	Range		Point
8	1.7938994068871957e-52	1.078845783157592e-49	9.039394313155043e-52
3	-1.2478572044401082e-20	-1.0327239120881186e-20	-1.153736389036113e-20

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	52
1	64	52

end0.0ms (0%)

sample2.9s (21.3%)

Algorithm

1×

intervals

Results

668.0ms	8000×	body	128	valid
262.0ms	3028×	body	128	invalid

Compiler

Compiled 781 to 654 computations (16.3% saved)

Details

analyze1.8s (13.1%)

sample59.0ms (0.4%)

simplify687.0ms (5%)

prune8.0ms (0.1%)

localize16.0ms (0.1%)

rewrite70.0ms (0.5%)

series1.1s (7.7%)

simplify141.0ms (1%)

prune298.0ms (2.2%)

localize15.0ms (0.1%)

rewrite67.0ms (0.5%)

series1.3s (9.5%)

simplify157.0ms (1.1%)

prune224.0ms (1.6%)

localize17.0ms (0.1%)

rewrite73.0ms (0.5%)

series1.2s (8.8%)

simplify134.0ms (1%)

prune210.0ms (1.5%)

localize17.0ms (0.1%)

rewrite118.0ms (0.9%)

series1.3s (9.2%)

simplify178.0ms (1.3%)

prune340.0ms (2.5%)

regimes1.3s (9.4%)

bsearch64.0ms (0.5%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.9s (21.3%)

Profiling