Details

analyze2.0s (9.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	209
1	4999	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

sample63.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
5.0ms	108×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify532.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (527.0ms)

Iter	Nodes	Cost
0	4162	19
1	4162	19

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

7.5b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.4b	(.f64 (.f64 z 9) t)
6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite96.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`pow1_binary64_20940`
6×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
5×	`add-log-exp_binary64_20918`
4×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
3×	`times-frac_binary64_20885` `associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `associate-r*_binary64_20819`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `flip3--_binary64_20883` `associate-/l/_binary64_20826` `flip--_binary64_20854`
1×	`frac-2neg_binary64_20890` `div-sub_binary64_20884` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/r_binary64_20823` `associate-l_binary64_20820` `-commutative_binary64_20810` `diff-log_binary64_20971` `sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845`

Counts

3 → 54

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series831.0ms (3.7%)

Error

7.0b

Counts

3 → 57

Calls

3 calls:

459.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
243.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
71.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5092	1631

prune144.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	11	112

Error

6.9b

Counts

112 → 11

Compiler

Compiled 1868 to 999 computations (46.5% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 z (.f64 t 9))
0.2b	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))

rewrite87.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`pow1_binary64_20940`
6×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
5×	`add-log-exp_binary64_20918`
4×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
3×	`times-frac_binary64_20885` `associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `associate-l*_binary64_20820`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `flip3--_binary64_20883` `associate-/l/_binary64_20826` `flip--_binary64_20854`
1×	`frac-2neg_binary64_20890` `div-sub_binary64_20884` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/r_binary64_20823` `diff-log_binary64_20971` `sub-neg_binary64_20872` `cancel-sign-sub-inv_binary64_20845` `associate-r_binary64_20819` `-commutative_binary64_20810`

Counts

3 → 54

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
5.0ms	(.f64 z (.f64 t 9))
4.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))

Compiler

Compiled 1206 to 698 computations (42.1% saved)

series846.0ms (3.8%)

Error

6.9b

Counts

3 → 57

Calls

3 calls:

517.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
213.0ms	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
53.0ms	(.f64 z (.f64 t 9))

Compiler

Compiled 1725 to 1383 computations (19.8% saved)

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4934	1629
1	4934	1629

prune94.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	111	11	122

Error

6.9b

Counts

122 → 11

Compiler

Compiled 1857 to 988 computations (46.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 t z) 9)
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
0.5b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
6.8b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))

rewrite729.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

471×	`times-frac_binary64_20885`
232×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
57×	`associate-/r*_binary64_20823`
35×	`add-exp-log_binary64_20917`
23×	`add-cbrt-cube_binary64_20915`
22×	`div-inv_binary64_20876`
18×	`div-exp_binary64_20930`
10×	`pow1_binary64_20940`
9×	`cbrt-undiv_binary64_20913`
6×	`add-log-exp_binary64_20918` `associate-/r/_binary64_20825` `associate-/l*_binary64_20824`
3×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-r_binary64_20819`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`inv-pow_binary64_20964` `pow-flip_binary64_20953` `diff-log_binary64_20971` `flip3--_binary64_20883` `sub-neg_binary64_20872` `flip--_binary64_20854` `cancel-sign-sub-inv_binary64_20845` `associate-l_binary64_20820` `*-commutative_binary64_20810`

Counts

4 → 304

Calls

4 calls:

29.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
18.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
6.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
5.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 9926 to 5742 computations (42.2% saved)

series1.4s (6.1%)

Error

6.9b

Counts

4 → 90

Calls

4 calls:

518.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
485.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
211.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
74.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 4062 to 3212 computations (20.9% saved)

simplify177.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

394 → 394

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5084	12646

prune623.0ms (2.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	386	8	394
Fresh	5	4	9
Picked	1	0	1
Done	0	1	1
Total	392	13	405

Error

6.9b

Counts

405 → 13

Compiler

Compiled 10427 to 5545 computations (46.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 t z) 9)
0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
0.5b	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
6.6b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))

rewrite3.5s (15.5%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

1976×	`times-frac_binary64_20885`
852×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
107×	`div-inv_binary64_20876`
103×	`add-exp-log_binary64_20917`
77×	`div-exp_binary64_20930`
57×	`associate-/r*_binary64_20823`
35×	`add-cbrt-cube_binary64_20915`
18×	`cbrt-undiv_binary64_20913`
17×	`1-exp_binary64_20923` `rec-exp_binary64_20929`
16×	`associate-/r/_binary64_20825` `associate-/l*_binary64_20824`
10×	`pow1_binary64_20940`
6×	`add-log-exp_binary64_20918`
3×	`pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-r_binary64_20819`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878`
1×	`associate-/l/_binary64_20826` `inv-pow_binary64_20964` `pow-flip_binary64_20953` `diff-log_binary64_20971` `flip3--_binary64_20883` `sub-neg_binary64_20872` `flip--_binary64_20854` `cancel-sign-sub-inv_binary64_20845` `associate-l_binary64_20820` `*-commutative_binary64_20810`

Counts

4 → 781

Calls

4 calls:

31.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
10.0ms	(.f64 (.f64 t z) 9)
8.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))

Compiler

Compiled 30773 to 20116 computations (34.6% saved)

series1.2s (5.2%)

Error

6.9b

Counts

4 → 87

Calls

4 calls:

479.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
293.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
245.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
63.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 4023 to 3315 computations (17.6% saved)

simplify382.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

868 → 868

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5232	36803

prune2.5s (11.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	865	3	868
Fresh	2	9	11
Picked	1	0	1
Done	0	1	1
Total	868	13	881

Error

6.9b

Counts

881 → 13

Compiler

Compiled 26669 to 15492 computations (41.9% saved)

regimes2.8s (12.5%)

Accuracy

Total 0.5b remaining (6.6%)

Threshold costs 0.5b (6.6%)

Compiler

Compiled 30442 to 25719 computations (15.5% saved)

bsearch0.0ms (0%)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	19
1	60	19

Remove

(sort x y)

Compiler

Compiled 78 to 78 computations (0% saved)

end0.0ms (0%)

sample4.1s (18.2%)

Algorithm

1×

intervals

Results

399.0ms	8000×	body	128	valid
158.0ms	3143×	body	128	invalid

Compiler

Compiled 2703 to 2282 computations (15.6% saved)

Details

analyze2.0s (9.1%)

sample63.0ms (0.3%)

simplify532.0ms (2.4%)

prune2.0ms (0%)

localize16.0ms (0.1%)

rewrite96.0ms (0.4%)

series831.0ms (3.7%)

simplify68.0ms (0.3%)

prune144.0ms (0.6%)

localize15.0ms (0.1%)

rewrite87.0ms (0.4%)

series846.0ms (3.8%)

simplify110.0ms (0.5%)

prune94.0ms (0.4%)

localize22.0ms (0.1%)

rewrite729.0ms (3.3%)

series1.4s (6.1%)

simplify177.0ms (0.8%)

prune623.0ms (2.8%)

localize15.0ms (0.1%)

rewrite3.5s (15.5%)

series1.2s (5.2%)

simplify382.0ms (1.7%)

prune2.5s (11.3%)

regimes2.8s (12.5%)

bsearch0.0ms (0%)

simplify31.0ms (0.1%)

end0.0ms (0%)

sample4.1s (18.2%)

Profiling