Details

analyze4.0s (12.8%)

Algorithm

2×	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%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14
0%	99.7%	0.3%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 40 to 38 computations (5% saved)

sample2.4s (7.8%)

Algorithm

2×

intervals

Results

30.0ms	512×	body	128	valid
27.0ms	372×	body	128	invalid

Compiler

Compiled 8499 to 11042 computations (-29.9% saved)

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune6.0ms (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

6.9b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
0.2b	(.f64 (.f64 x 9) y)
2.3b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
12.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite191.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

21×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
18×	`times-frac_binary64_18157`
13×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
9×	`pow1_binary64_18212`
6×	`add-log-exp_binary64_18190` `associate-/l_binary64_18096` `associate-/r_binary64_18095`
4×	`associate-/l/_binary64_18098`
3×	`flip3-+_binary64_18154` `flip-+_binary64_18125` `pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-r_binary64_18091`
2×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `div-inv_binary64_18148`
1×	`associate-l_binary64_18092` `*-commutative_binary64_18082` `sum-log_binary64_18242` `+-commutative_binary64_18081`

Counts

4 → 87

Calls

4 calls:

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

series2.6s (8.3%)

Error

6.7b

Counts

4 → 102

Calls

4 calls:

1.3s	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
803.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
345.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
71.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune243.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	178	11	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	179	12	191

Error

6.6b

Counts

191 → 12

Compiler

Compiled 4014 to 2050 computations (48.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 x y))
0.4b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
2.3b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
12.5b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite366.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

99×	`times-frac_binary64_18157`
65×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
24×	`add-exp-log_binary64_18189`
21×	`associate-/r*_binary64_18095`
18×	`add-cbrt-cube_binary64_18187`
11×	`associate-/r/_binary64_18097`
10×	`pow1_binary64_18212`
9×	`div-exp_binary64_18202` `associate-/l*_binary64_18096`
7×	`div-inv_binary64_18148`
6×	`flip3-+_binary64_18154` `flip-+_binary64_18125`
5×	`cbrt-undiv_binary64_18185`
4×	`add-log-exp_binary64_18190`
3×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-l_binary64_18092`
2×	`associate-/l/_binary64_18098` `1-exp_binary64_18195` `rec-exp_binary64_18201`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `associate-r_binary64_18091` `*-commutative_binary64_18082`

Counts

4 → 160

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
13.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
6.0ms	(.f64 9 (.f64 x y))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5784 to 3212 computations (44.5% saved)

series2.8s (8.9%)

Error

6.6b

Counts

4 → 97

Calls

4 calls:

1.3s	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
951.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
341.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
76.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 5806 to 4321 computations (25.6% saved)

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4969	7833
1	4969	7833

prune420.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	255	2	257
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	257	12	269

Error

6.6b

Counts

269 → 12

Compiler

Compiled 7227 to 3708 computations (48.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 c)
2.3b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
3.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
8.9b	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))

rewrite310.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

75×	`times-frac_binary64_18157`
45×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
27×	`cbrt-prod_binary64_18182`
20×	`add-exp-log_binary64_18189`
13×	`add-cbrt-cube_binary64_18187` `associate-/l*_binary64_18096`
10×	`div-inv_binary64_18148` `associate-/r*_binary64_18095`
8×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
5×	`associate-/l/_binary64_18098`
4×	`pow1_binary64_18212` `add-log-exp_binary64_18190`
3×	`frac-2neg_binary64_18162` `clear-num_binary64_18150`
2×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `flip3-+_binary64_18154` `flip-+_binary64_18125`
1×	`pow1/3_binary64_18233`

Counts

4 → 135

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 5448 to 2337 computations (57.1% saved)

series4.6s (15%)

Error

6.6b

Counts

4 → 102

Calls

4 calls:

2.8s	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
1.3s	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c))) (cbrt.f64 c))
326.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
118.0ms	(cbrt.f64 c)

Compiler

Compiled 6571 to 4914 computations (25.2% saved)

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4936	7417
1	4936	7417

prune377.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	234	3	237
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	235	14	249

Error

6.6b

Counts

249 → 14

Compiler

Compiled 7047 to 3297 computations (53.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 c))
2.3b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
3.7b	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 c)) (cbrt.f64 (cbrt.f64 c))) (cbrt.f64 (cbrt.f64 c))))
8.9b	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))

rewrite279.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

47×	`add-exp-log_binary64_18189`
27×	`add-cbrt-cube_binary64_18187`
25×	`times-frac_binary64_18157`
20×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
18×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
13×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-/l*_binary64_18096`
9×	`cbrt-prod_binary64_18182`
5×	`div-inv_binary64_18148` `associate-/l/_binary64_18098` `associate-/r*_binary64_18095`
4×	`pow1_binary64_18212` `add-log-exp_binary64_18190`
3×	`frac-2neg_binary64_18162` `clear-num_binary64_18150`
2×	`flip3-+_binary64_18154` `flip-+_binary64_18125`
1×	`pow1/3_binary64_18233`

Counts

4 → 110

Calls

4 calls:

25.0ms	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 c)) (cbrt.f64 (cbrt.f64 c))) (cbrt.f64 (cbrt.f64 c))))
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
1.0ms	(cbrt.f64 (cbrt.f64 c))

Compiler

Compiled 5390 to 1855 computations (65.6% saved)

series4.8s (15.4%)

Error

6.6b

Counts

4 → 102

Calls

4 calls:

2.8s	(/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
1.4s	(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)) (.f64 (cbrt.f64 c) (cbrt.f64 c))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 c)) (cbrt.f64 (cbrt.f64 c))) (cbrt.f64 (cbrt.f64 c))))
360.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
142.0ms	(cbrt.f64 (cbrt.f64 c))

Compiler

Compiled 8026 to 5223 computations (34.9% saved)

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5176	5474

prune315.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	210	2	212
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	212	14	226

Error

6.6b

Counts

226 → 14

Compiler

Compiled 6701 to 2352 computations (64.9% saved)

regimes2.6s (8.4%)

Accuracy

Total 2.2b remaining (26%)

Threshold costs 0b (0%)

Compiler

Compiled 24642 to 21224 computations (13.9% saved)

bsearch6.0ms (0%)

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

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	158	214
1	158	214

Compiler

Compiled 576 to 352 computations (38.9% saved)

end0.0ms (0%)

sample4.1s (13.1%)

Algorithm

1×

intervals

Results

467.0ms	8000×	body	128	valid
303.0ms	4899×	body	128	invalid

Compiler

Compiled 2608 to 2138 computations (18% saved)

Details

analyze4.0s (12.8%)

sample2.4s (7.8%)

simplify64.0ms (0.2%)

prune6.0ms (0%)

localize13.0ms (0%)

rewrite191.0ms (0.6%)

series2.6s (8.3%)

simplify97.0ms (0.3%)

prune243.0ms (0.8%)

localize16.0ms (0.1%)

rewrite366.0ms (1.2%)

series2.8s (8.9%)

simplify130.0ms (0.4%)

prune420.0ms (1.4%)

localize25.0ms (0.1%)

rewrite310.0ms (1%)

series4.6s (15%)

simplify145.0ms (0.5%)

prune377.0ms (1.2%)

localize24.0ms (0.1%)

rewrite279.0ms (0.9%)

series4.8s (15.4%)

simplify86.0ms (0.3%)

prune315.0ms (1%)

regimes2.6s (8.4%)

bsearch6.0ms (0%)

simplify60.0ms (0.2%)

end0.0ms (0%)

sample4.1s (13.1%)

Profiling