Details

analyze1.3s (26.8%)

Algorithm

1×

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

sample31.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	10×	body	80	invalid

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune9.0ms (0.2%)

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

Merged error: 14.0b

Counts

2 → 1

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
4.7b	(/.f64 (*.f64 y b) t)
7.2b	(/.f64 (*.f64 y z) t)
9.1b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1.0) (/.f64 (.f64 y b) t)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
24×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
9×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`pow1_binary64` `frac-add_binary64` `associate-/r/_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1.0) (/.f64 (.f64 y b) t)))
8.0ms	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
5.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)

series73.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1.0) (/.f64 (.f64 y b) t)))
10.0ms	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
7.0ms	(/.f64 (*.f64 y z) t)
6.0ms	(/.f64 (*.f64 y b) t)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5026	1713

prune231.0ms (4.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	12	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	12	119

Merged error: 9.3b

Counts

119 → 12

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
3.5b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
4.7b	(/.f64 (*.f64 y b) t)
9.1b	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
25×	`add-cbrt-cube_binary64`
22×	`associate-r_binary64`
14×	`cbrt-prod_binary64`
12×	`distribute-lft-out_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-/r*_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `pow1/3_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 132

Calls

4 calls:

16.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
13.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))
5.0ms	(/.f64 (*.f64 y b) t)
1.0ms	(cbrt.f64 t)

series124.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))
18.0ms	(cbrt.f64 t)
12.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
6.0ms	(/.f64 (*.f64 y b) t)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4960	1826
1	4960	1826

prune234.0ms (4.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	138	6	144
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	141	15	156

Merged error: 8.1b

Counts

156 → 15

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
3.5b	(/.f64 y (/.f64 t z))
4.7b	(/.f64 (*.f64 y b) t)
9.1b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))

rewrite50.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`*-un-lft-identity_binary64`
98×	`times-frac_binary64`
59×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`distribute-lft-out_binary64`
21×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-log-exp_binary64`
8×	`associate-/l*_binary64`
7×	`div-inv_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
4×	`pow1_binary64` `frac-add_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64`
1×	`cbrt-unprod_binary64` `associate-+l+_binary64` `prod-exp_binary64` `+-commutative_binary64`

Counts

4 → 155

Calls

4 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))
8.0ms	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
6.0ms	(/.f64 y (/.f64 t z))
5.0ms	(/.f64 (*.f64 y b) t)

series105.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t)))
12.0ms	(+.f64 (+.f64 a 1.0) (/.f64 (*.f64 y b) t))
7.0ms	(/.f64 y (/.f64 t z))
6.0ms	(/.f64 (*.f64 y b) t)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4995	2331
1	4995	2331

prune232.0ms (4.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	168	14	182

Merged error: 8.0b

Counts

182 → 14

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b)))
3.5b	(/.f64 y (/.f64 t z))
6.2b	(/.f64 y (/.f64 t b))
9.1b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b))))

rewrite70.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

170×	`times-frac_binary64`
141×	`*-un-lft-identity_binary64`
99×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
31×	`associate-/r*_binary64`
24×	`distribute-lft-out_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`div-inv_binary64`
10×	`associate-/l*_binary64`
9×	`add-log-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `frac-add_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

33.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b))))
17.0ms	(+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b)))
6.0ms	(/.f64 y (/.f64 t b))
6.0ms	(/.f64 y (/.f64 t z))

series105.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b))))
12.0ms	(+.f64 (+.f64 a 1.0) (/.f64 y (/.f64 t b)))
7.0ms	(/.f64 y (/.f64 t z))
7.0ms	(/.f64 y (/.f64 t b))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5003	2965

prune220.0ms (4.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	211	5	216
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	216	14	230

Merged error: 7.6b

Counts

230 → 14

regimes844.0ms (17.8%)

Accuracy

Total 3.2b remaining (24.6%)

Threshold costs 0b (0%)

bsearch32.0ms (0.7%)

Steps

Iters	Range		Point
6	1.246014428397326e-71	1.2136182143231397e-70	5.1154286064408824e-71
7	-229320086285.10208	-6633447861.382945	-20715212907.95677

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	45
1	43	45

end0.0ms (0%)

sample737.0ms (15.6%)

Algorithm

1×

intervals

Results

441.0ms	8000×	body	80	valid
14.0ms	267×	body	80	invalid

Details

analyze1.3s (26.8%)

sample31.0ms (0.7%)

simplify6.0ms (0.1%)

prune9.0ms (0.2%)

localize13.0ms (0.3%)

rewrite35.0ms (0.7%)

series73.0ms (1.5%)

simplify46.0ms (1%)

prune231.0ms (4.9%)

localize17.0ms (0.4%)

rewrite41.0ms (0.9%)

series124.0ms (2.6%)

simplify66.0ms (1.4%)

prune234.0ms (4.9%)

localize14.0ms (0.3%)

rewrite50.0ms (1.1%)

series105.0ms (2.2%)

simplify52.0ms (1.1%)

prune232.0ms (4.9%)

localize12.0ms (0.2%)

rewrite70.0ms (1.5%)

series105.0ms (2.2%)

simplify64.0ms (1.4%)

prune220.0ms (4.6%)

regimes844.0ms (17.8%)

bsearch32.0ms (0.7%)

simplify2.0ms (0%)

end0.0ms (0%)

sample737.0ms (15.6%)

Profiling