Details

analyze1.3s (9.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	400
1	382	400
0	6	6
1	6	6

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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune3.0ms (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

17.9b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
3.8b	(/.f64 (*.f64 y b) t)
5.5b	(/.f64 (*.f64 y z) t)
12.8b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite184.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

61×	`*-un-lft-identity_binary64_19174`
26×	`times-frac_binary64_19180`
24×	`distribute-lft-out_binary64_19125`
19×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
16×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
11×	`associate-/r*_binary64_19118`
9×	`add-log-exp_binary64_19213`
6×	`associate-/l*_binary64_19119`
5×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `flip3-+_binary64_19177` `flip-+_binary64_19148`
4×	`pow1_binary64_19235` `frac-add_binary64_19182` `associate-/r/_binary64_19120`
3×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `sum-log_binary64_19265`
2×	`associate-/l/_binary64_19121` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
1×	`associate-+l+_binary64_19107` `+-commutative_binary64_19104`

Counts

4 → 106

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
8.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 2888 to 960 computations (66.8% saved)

series1.2s (8.6%)

Error

2.9b

Counts

4 → 80

Calls

4 calls:

703.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
171.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
107.0ms	(/.f64 (*.f64 y b) t)
105.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 5429 to 3499 computations (35.5% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5325	4120

prune185.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	175	11	186
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	11	187

Error

0.8b

Counts

187 → 11

Compiler

Compiled 4470 to 1469 computations (67.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
3.7b	(/.f64 y (/.f64 t z))
3.8b	(/.f64 (*.f64 y b) t)
12.8b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite209.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

101×	`*-un-lft-identity_binary64_19174`
98×	`times-frac_binary64_19180`
59×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
24×	`distribute-lft-out_binary64_19125`
21×	`associate-/r*_binary64_19118`
16×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
9×	`add-log-exp_binary64_19213`
8×	`associate-/l*_binary64_19119`
7×	`div-inv_binary64_19171`
6×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208`
5×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-/r/_binary64_19120`
4×	`pow1_binary64_19235` `frac-add_binary64_19182`
3×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `sum-log_binary64_19265`
2×	`associate-/l/_binary64_19121`
1×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-+l+_binary64_19107` `+-commutative_binary64_19104`

Counts

4 → 155

Calls

4 calls:

22.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
8.0ms	(/.f64 y (/.f64 t z))
7.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 4273 to 1420 computations (66.8% saved)

series1.2s (8.6%)

Error

0.6b

Counts

4 → 80

Calls

4 calls:

711.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
180.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
102.0ms	(/.f64 (*.f64 y b) t)
93.0ms	(/.f64 y (/.f64 t z))

Compiler

Compiled 5429 to 3499 computations (35.5% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4987	5358
1	4987	5358

prune213.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	234	12	246

Error

0.6b

Counts

246 → 12

Compiler

Compiled 5965 to 1907 computations (68% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
3.7b	(/.f64 y (/.f64 t z))
3.8b	(/.f64 (*.f64 y b) t)
12.6b	(.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 1 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1))))

rewrite271.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

110×	`times-frac_binary64_19180`
106×	`*-un-lft-identity_binary64_19174`
75×	`add-sqr-sqrt_binary64_19196`
68×	`add-cube-cbrt_binary64_19209`
27×	`add-exp-log_binary64_19212`
22×	`distribute-lft-out_binary64_19125`
21×	`add-cbrt-cube_binary64_19210` `associate-r_binary64_19114` `associate-/r*_binary64_19118`
9×	`div-exp_binary64_19225`
8×	`div-inv_binary64_19171`
7×	`pow1_binary64_19235` `cbrt-undiv_binary64_19208` `associate-/l*_binary64_19119`
5×	`prod-exp_binary64_19223` `associate-/r/_binary64_19120`
4×	`add-log-exp_binary64_19213` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-l_binary64_19115`
3×	`cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `frac-2neg_binary64_19185` `clear-num_binary64_19173`
2×	`1-exp_binary64_19218` `rec-exp_binary64_19224` `frac-times_binary64_19184` `associate-*l/_binary64_19117`
1×	`pow-prod-down_binary64_19245` `un-div-inv_binary64_19172` `associate-r/_binary64_19116` `-commutative_binary64_19105` `inv-pow_binary64_19259` `pow-flip_binary64_19248`

Counts

4 → 181

Calls

4 calls:

29.0ms	(.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 1 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1))))
10.0ms	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
6.0ms	(/.f64 y (/.f64 t z))
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5307 to 2098 computations (60.5% saved)

series1.3s (9.7%)

Error

0.6b

Counts

4 → 86

Calls

4 calls:

734.0ms	(.f64 (+.f64 x (/.f64 y (/.f64 t z))) (/.f64 1 (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1))))
289.0ms	(/.f64 1 (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
102.0ms	(/.f64 (*.f64 y b) t)
100.0ms	(/.f64 y (/.f64 t z))

Compiler

Compiled 7034 to 4701 computations (33.2% saved)

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5328	6191

prune276.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	267	12	279

Error

0.6b

Counts

279 → 12

Compiler

Compiled 7298 to 2644 computations (63.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t z)))
3.7b	(/.f64 y (/.f64 t z))
5.7b	(*.f64 y (/.f64 b t))
12.8b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))

rewrite203.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

97×	`times-frac_binary64_19180`
73×	`*-un-lft-identity_binary64_19174`
68×	`add-sqr-sqrt_binary64_19196`
63×	`add-cube-cbrt_binary64_19209`
16×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `associate-/r*_binary64_19118`
13×	`associate-r_binary64_19114`
7×	`div-inv_binary64_19171` `associate-/l*_binary64_19119`
6×	`pow1_binary64_19235` `add-log-exp_binary64_19213`
5×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `distribute-lft-out_binary64_19125` `associate-/r/_binary64_19120`
4×	`flip3-+_binary64_19177` `flip-+_binary64_19148`
3×	`associate-r/_binary64_19116` `associate-l*_binary64_19115`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/l/_binary64_19121` `frac-add_binary64_19182` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142`
1×	`pow-prod-down_binary64_19245` `*-commutative_binary64_19105` `sum-log_binary64_19265` `+-commutative_binary64_19104`

Counts

4 → 151

Calls

4 calls:

20.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
13.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
9.0ms	(/.f64 y (/.f64 t z))
7.0ms	(*.f64 y (/.f64 b t))

Compiler

Compiled 4153 to 1341 computations (67.7% saved)

series1.2s (8.6%)

Error

0.6b

Counts

4 → 80

Calls

4 calls:

725.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
163.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
108.0ms	(/.f64 y (/.f64 t z))
102.0ms	(*.f64 y (/.f64 b t))

Compiler

Compiled 5457 to 3546 computations (35% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	4975

prune202.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	231	12	243

Error

0.6b

Counts

243 → 12

Compiler

Compiled 5622 to 1679 computations (70.1% saved)

regimes2.5s (18.3%)

Accuracy

Total 8.4b remaining (89.5%)

Threshold costs 0b (0%)

Compiler

Compiled 22504 to 16186 computations (28.1% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 17 to 15 computations (11.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	181
1	53	181

end0.0ms (0%)

sample2.7s (20.1%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
14.0ms	285×	body	128	invalid

Compiler

Compiled 2976 to 2105 computations (29.3% saved)

Details

analyze1.3s (9.8%)

sample28.0ms (0.2%)

simplify13.0ms (0.1%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite184.0ms (1.4%)

series1.2s (8.6%)

simplify74.0ms (0.5%)

prune185.0ms (1.4%)

localize12.0ms (0.1%)

rewrite209.0ms (1.6%)

series1.2s (8.6%)

simplify97.0ms (0.7%)

prune213.0ms (1.6%)

localize13.0ms (0.1%)

rewrite271.0ms (2%)

series1.3s (9.7%)

simplify95.0ms (0.7%)

prune276.0ms (2%)

localize13.0ms (0.1%)

rewrite203.0ms (1.5%)

series1.2s (8.6%)

simplify84.0ms (0.6%)

prune202.0ms (1.5%)

regimes2.5s (18.3%)

bsearch9.0ms (0.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.7s (20.1%)

Profiling