Details

analyze2.2s (10.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 20 to 19 computations (5% saved)

sample67.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	138×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune13.0ms (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

6.0b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.5b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.3b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite175.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

21×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
18×	`times-frac_binary64_17816`
13×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
9×	`pow1_binary64_17871`
6×	`add-log-exp_binary64_17849` `associate-/l_binary64_17755` `associate-/r_binary64_17754`
4×	`associate-/l/_binary64_17757`
3×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `associate-r_binary64_17750`
2×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `frac-2neg_binary64_17821` `clear-num_binary64_17809` `div-inv_binary64_17807`
1×	`sum-log_binary64_17901` `+-commutative_binary64_17740` `associate-l_binary64_17751` `*-commutative_binary64_17741`

Counts

4 → 87

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2574 to 1468 computations (43% saved)

series1.8s (8.9%)

Error

5.2b

Counts

4 → 102

Calls

4 calls:

894.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
539.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
217.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
59.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune203.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	180	9	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	181	10	191

Error

5.1b

Counts

191 → 10

Compiler

Compiled 3983 to 2020 computations (49.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.5b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.4b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite184.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

28×	`add-sqr-sqrt_binary64_17832`
22×	`*-un-lft-identity_binary64_17810`
21×	`add-cube-cbrt_binary64_17845`
20×	`add-exp-log_binary64_17848` `times-frac_binary64_17816`
16×	`add-cbrt-cube_binary64_17846` `associate-r_binary64_17750`
11×	`pow1_binary64_17871`
7×	`prod-exp_binary64_17859`
6×	`add-log-exp_binary64_17849`
5×	`cbrt-unprod_binary64_17843`
4×	`pow-prod-down_binary64_17881` `flip3-+_binary64_17813` `flip-+_binary64_17784` `associate-l_binary64_17751`
3×	`div-exp_binary64_17861` `unswap-sqr_binary64_17778` `associate-/l_binary64_17755` `associate-/r_binary64_17754`
2×	`cbrt-undiv_binary64_17844` `frac-times_binary64_17820` `associate-l/_binary64_17753` `div-inv_binary64_17807` `-commutative_binary64_17741` `associate-/l/_binary64_17757`
1×	`1-exp_binary64_17854` `rec-exp_binary64_17860` `un-div-inv_binary64_17808` `associate-*r/_binary64_17752` `frac-2neg_binary64_17821` `clear-num_binary64_17809` `sum-log_binary64_17901` `+-commutative_binary64_17740`

Counts

4 → 98

Calls

4 calls:

18.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
8.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3055 to 1849 computations (39.5% saved)

series1.9s (9.6%)

Error

5.1b

Counts

4 → 102

Calls

4 calls:

910.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
575.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
304.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
53.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4627 to 3520 computations (23.9% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune209.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	199	11	210

Error

5.1b

Counts

210 → 11

Compiler

Compiled 4579 to 2386 computations (47.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
0.5b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
2.5b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
9.3b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite305.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

99×	`times-frac_binary64_17816`
64×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
21×	`associate-/r*_binary64_17754`
19×	`add-exp-log_binary64_17848`
13×	`add-cbrt-cube_binary64_17846`
11×	`associate-/r/_binary64_17756`
9×	`div-exp_binary64_17861` `associate-/l*_binary64_17755`
7×	`div-inv_binary64_17807` `flip3-+_binary64_17813` `flip-+_binary64_17784`
6×	`add-log-exp_binary64_17849`
5×	`pow1_binary64_17871` `cbrt-undiv_binary64_17844`
3×	`frac-2neg_binary64_17821` `clear-num_binary64_17809`
2×	`associate-/l/_binary64_17757` `1-exp_binary64_17854` `rec-exp_binary64_17860`
1×	`sum-log_binary64_17901` `+-commutative_binary64_17740` `inv-pow_binary64_17895` `pow-flip_binary64_17884`

Counts

4 → 153

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
12.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
11.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
6.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5738 to 3171 computations (44.7% saved)

series2.3s (11.6%)

Error

5.1b

Counts

4 → 128

Calls

4 calls:

821.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
621.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
558.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
229.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 7085 to 5308 computations (25.1% saved)

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5023	8761

prune348.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	279	2	281
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	279	13	292

Error

5.1b

Counts

292 → 13

Compiler

Compiled 7726 to 3916 computations (49.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 c)
2.5b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
4.3b	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
5.2b	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))

rewrite313.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

64×	`add-sqr-sqrt_binary64_17832`
60×	`times-frac_binary64_17816`
53×	`add-exp-log_binary64_17848`
46×	`*-un-lft-identity_binary64_17810`
43×	`add-cube-cbrt_binary64_17845`
27×	`cbrt-prod_binary64_17841`
22×	`associate-r_binary64_17750`
21×	`add-cbrt-cube_binary64_17846`
20×	`prod-exp_binary64_17859`
17×	`div-exp_binary64_17861`
9×	`cbrt-undiv_binary64_17844` `associate-/r*_binary64_17754` `unswap-sqr_binary64_17778`
8×	`cbrt-unprod_binary64_17843`
7×	`associate-l_binary64_17751`
6×	`pow1_binary64_17871` `associate-/l*_binary64_17755`
4×	`add-log-exp_binary64_17849` `div-inv_binary64_17807` `associate-/l/_binary64_17757` `1-exp_binary64_17854` `rec-exp_binary64_17860`
2×	`frac-2neg_binary64_17821` `clear-num_binary64_17809` `flip3-+_binary64_17813` `flip-+_binary64_17784`
1×	`pow-prod-down_binary64_17881` `frac-times_binary64_17820` `associate-l/_binary64_17753` `associate-r/_binary64_17752` `*-commutative_binary64_17741` `pow1/3_binary64_17892`

Counts

4 → 151

Calls

4 calls:

25.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
6.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 6307 to 2920 computations (53.7% saved)

series2.9s (14.4%)

Error

5.1b

Counts

4 → 102

Calls

4 calls:

1.6s	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c))
870.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 c) (cbrt.f64 c))) (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (cbrt.f64 c)))
234.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
76.0ms	(cbrt.f64 c)

Compiler

Compiled 6772 to 4878 computations (28% saved)

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	7219
1	4968	7219

prune320.0ms (1.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	249	4	253
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	251	15	266

Error

5.1b

Counts

266 → 15

Compiler

Compiled 7560 to 3479 computations (54% saved)

regimes2.7s (13.2%)

Accuracy

Total 2.7b remaining (31.4%)

Threshold costs 0b (0%)

Compiler

Compiled 29222 to 24656 computations (15.6% saved)

bsearch7.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	167	202
1	167	202

Remove

(sort t a)

(sort x y)

Compiler

Compiled 544 to 328 computations (39.7% saved)

end0.0ms (0%)

sample3.6s (17.7%)

Algorithm

1×

intervals

Results

475.0ms	8000×	body	128	valid
290.0ms	4849×	body	128	invalid

Compiler

Compiled 3066 to 2479 computations (19.1% saved)

Details

analyze2.2s (10.8%)

sample67.0ms (0.3%)

simplify66.0ms (0.3%)

prune13.0ms (0.1%)

localize12.0ms (0.1%)

rewrite175.0ms (0.9%)

series1.8s (8.9%)

simplify98.0ms (0.5%)

prune203.0ms (1%)

localize15.0ms (0.1%)

rewrite184.0ms (0.9%)

series1.9s (9.6%)

simplify107.0ms (0.5%)

prune209.0ms (1%)

localize14.0ms (0.1%)

rewrite305.0ms (1.5%)

series2.3s (11.6%)

simplify121.0ms (0.6%)

prune348.0ms (1.7%)

localize21.0ms (0.1%)

rewrite313.0ms (1.6%)

series2.9s (14.4%)

simplify113.0ms (0.6%)

prune320.0ms (1.6%)

regimes2.7s (13.2%)

bsearch7.0ms (0%)

simplify43.0ms (0.2%)

end0.0ms (0%)

sample3.6s (17.7%)

Profiling