Details

analyze1.3s (2.7%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample50.0ms (0.1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
5.0ms	102×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify389.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

prune4.0ms (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 18 to 16 computations (11.1% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite119.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_20901`
12×	`*-un-lft-identity_binary64_20879` `cancel-sign-sub-inv_binary64_20845`
8×	`add-cube-cbrt_binary64_20914` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-+r+_binary64_20811`
6×	`flip3--_binary64_20883` `flip--_binary64_20854`
5×	`associate-l_binary64_20820` `associate-r_binary64_20819`
4×	`pow1_binary64_20940` `add-exp-log_binary64_20917` `add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915` `frac-times_binary64_20889` `sub-neg_binary64_20872`
2×	`associate-l/_binary64_20822` `associate-r/_binary64_20821` `difference-of-squares_binary64_20848` `distribute-lft-out--_binary64_20831`
1×	`pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `sum-log_binary64_20970` `flip3-+_binary64_20882` `flip-+_binary64_20853` `+-commutative_binary64_20809`

Counts

2 → 57

Calls

2 calls:

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

Compiler

Compiled 1056 to 258 computations (75.6% saved)

series864.0ms (1.8%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

480.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
328.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify130.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5123	1382

prune129.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Error

0.0b

Counts

106 → 4

Compiler

Compiled 1385 to 272 computations (80.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))

rewrite232.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_20910`
23×	`add-sqr-sqrt_binary64_20901`
18×	`cbrt-div_binary64_20911`
15×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
11×	`pow1_binary64_20940`
9×	`pow1/3_binary64_20961` `flip3-+_binary64_20882` `flip-+_binary64_20853`
6×	`add-exp-log_binary64_20917` `swap-sqr_binary64_20846` `associate-l_binary64_20820` `associate-r_binary64_20819`
4×	`add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915` `frac-times_binary64_20889` `unswap-sqr_binary64_20847`
2×	`pow-prod-down_binary64_20950` `pow-prod-up_binary64_20949` `pow-sqr_binary64_20852` `associate-l/_binary64_20822` `associate-r/_binary64_20821`
1×	`pow2_binary64_20960` `pow-plus_binary64_20942` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `*-commutative_binary64_20810`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))

Compiler

Compiled 4124 to 342 computations (91.7% saved)

series17.0s (35%)

Error

0.0b

Counts

4 → 102

Calls

4 calls:

9.6s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
2.3s	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
2.3s	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))
2.2s	(cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))

Compiler

Compiled 34109 to 20293 computations (40.5% saved)

simplify231.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5522	11024

prune692.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	188	5	193

Error

Counts

193 → 5

Compiler

Compiled 11117 to 3241 computations (70.8% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x))))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))))
0.6b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))))

rewrite332.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`cbrt-div_binary64_20911`
29×	`cbrt-prod_binary64_20910`
23×	`add-sqr-sqrt_binary64_20901`
15×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
14×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
11×	`pow1_binary64_20940`
9×	`pow1/3_binary64_20961`
8×	`frac-times_binary64_20889`
6×	`add-exp-log_binary64_20917` `swap-sqr_binary64_20846` `associate-l_binary64_20820` `associate-r_binary64_20819`
4×	`add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915` `associate-l/_binary64_20822` `associate-r/_binary64_20821` `unswap-sqr_binary64_20847`
2×	`pow-prod-down_binary64_20950` `pow-prod-up_binary64_20949` `pow-sqr_binary64_20852`
1×	`pow2_binary64_20960` `pow-plus_binary64_20942` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `*-commutative_binary64_20810`

Counts

4 → 94

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
15.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x))))

Compiler

Compiled 6966 to 609 computations (91.3% saved)

series18.4s (37.8%)

Error

Counts

4 → 90

Calls

4 calls:

9.4s	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z)))))
4.1s	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 t x) (-.f64 y z)))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 t x) (-.f64 y z))))))
2.3s	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x))))
2.0s	(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))))

Compiler

Compiled 39026 to 22301 computations (42.9% saved)

simplify257.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4970	10565
1	4970	10565

prune723.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	184	5	189

Error

Counts

189 → 5

Compiler

Compiled 14639 to 3235 computations (77.9% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.8b	(-.f64 (.f64 y y) (.f64 z z))
3.7b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
20.9b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite223.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_20879`
13×	`flip3--_binary64_20883` `flip--_binary64_20854`
12×	`add-sqr-sqrt_binary64_20901`
11×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`add-log-exp_binary64_20918` `add-cube-cbrt_binary64_20914` `frac-times_binary64_20889` `associate-/l/_binary64_20826`
6×	`pow1_binary64_20940`
5×	`associate-l_binary64_20820`
4×	`times-frac_binary64_20885` `associate-l/_binary64_20822` `associate-r/_binary64_20821` `associate-/r_binary64_20823` `associate-r*_binary64_20819`
3×	`distribute-lft-out_binary64_20830` `sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845` `difference-of-squares_binary64_20848`
2×	`prod-exp_binary64_20928` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `cbrt-unprod_binary64_20912` `flip3-+_binary64_20882` `associate-/r/_binary64_20825` `flip-+_binary64_20853` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
1×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `unswap-sqr_binary64_20847` `distribute-lft-out--_binary64_20831` `-commutative_binary64_20810` `diff-log_binary64_20971` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 91

Calls

4 calls:

25.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
19.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
14.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 2700 to 473 computations (82.5% saved)

series3.4s (7.1%)

Error

Counts

4 → 84

Calls

4 calls:

1.7s	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
783.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
592.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
181.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 4570 to 2851 computations (37.6% saved)

simplify161.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5095	3482

prune232.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	176	4	180

Error

Counts

180 → 4

Compiler

Compiled 3583 to 742 computations (79.3% saved)

regimes838.0ms (1.7%)

Accuracy

Total 0.0b remaining (89.6%)

Threshold costs 0.0b (89.6%)

Compiler

Compiled 5816 to 3106 computations (46.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample2.7s (5.6%)

Algorithm

1×

intervals

Results

804.0ms	8000×	body	128	valid
124.0ms	2518×	body	128	invalid

Compiler

Compiled 997 to 539 computations (45.9% saved)

Details

analyze1.3s (2.7%)

sample50.0ms (0.1%)

simplify389.0ms (0.8%)

prune4.0ms (0%)

localize12.0ms (0%)

rewrite119.0ms (0.2%)

series864.0ms (1.8%)

simplify130.0ms (0.3%)

prune129.0ms (0.3%)

localize26.0ms (0.1%)

rewrite232.0ms (0.5%)

series17.0s (35%)

simplify231.0ms (0.5%)

prune692.0ms (1.4%)

localize46.0ms (0.1%)

rewrite332.0ms (0.7%)

series18.4s (37.8%)

simplify257.0ms (0.5%)

prune723.0ms (1.5%)

localize26.0ms (0.1%)

rewrite223.0ms (0.5%)

series3.4s (7.1%)

simplify161.0ms (0.3%)

prune232.0ms (0.5%)

regimes838.0ms (1.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.7s (5.6%)

Profiling