Details

analyze912.0ms (23.3%)

Algorithm

1×

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify227.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	5590	11

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: 1.6b

Counts

2 → 1

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series67.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune170.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
0.0b	(/.f64 1 (-.f64 a t))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
2.1b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`associate-r/_binary64` `associate-l*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`un-div-inv_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 130

Calls

4 calls:

15.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
14.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
6.0ms	(/.f64 1 (-.f64 a t))
5.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

series74.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
24.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
12.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
6.0ms	(/.f64 1 (-.f64 a t))

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5210	1285

prune179.0ms (4.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
2.1b	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))

rewrite50.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-div_binary64`
38×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
24×	`associate-*r/_binary64` `add-exp-log_binary64`
20×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64`
14×	`associate-*l/_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`associate-l_binary64`
10×	`swap-sqr_binary64`
9×	`associate-r_binary64`
8×	`pow-prod-down_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64`
6×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-prod-up_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 128

Calls

4 calls:

25.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series122.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
29.0ms	(cbrt.f64 (-.f64 z t))
29.0ms	(cbrt.f64 (-.f64 z t))
21.0ms	(.f64 y (.f64 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (/.f64 (cbrt.f64 (-.f64 z t)) (-.f64 a t))))

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5709	1589

prune168.0ms (4.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	8	148

Merged error: 0.0b

Counts

148 → 8

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
11.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
7.0ms	(*.f64 y (-.f64 z t))

series65.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
21.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
9.0ms	(*.f64 y (-.f64 z t))

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5392	699

prune76.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	4	4
Picked	1	0	1
Done	1	2	3
Total	75	7	82

Merged error: 0b

Counts

82 → 7

regimes728.0ms (18.6%)

Accuracy

Total 0.7b remaining (97.8%)

Threshold costs 0.7b (97.8%)

bsearch42.0ms (1.1%)

Steps

Iters	Range		Point
10	6.0742482558430506e-229	2.1527254236451704e-212	2.408267500581704e-224
9	-2.6019520337919257e-102	-1.3015825200374908e-108	-6.583074756991604e-103

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	43
1	42	43

end0.0ms (0%)

sample670.0ms (17.2%)

Algorithm

1×

intervals

Results

342.0ms	7999×	body	80	valid
29.0ms	716×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze912.0ms (23.3%)

sample23.0ms (0.6%)

simplify227.0ms (5.8%)

prune9.0ms (0.2%)

localize13.0ms (0.3%)

rewrite33.0ms (0.8%)

series67.0ms (1.7%)

simplify41.0ms (1.1%)

prune170.0ms (4.3%)

localize9.0ms (0.2%)

rewrite45.0ms (1.2%)

series74.0ms (1.9%)

simplify43.0ms (1.1%)

prune179.0ms (4.6%)

localize15.0ms (0.4%)

rewrite50.0ms (1.3%)

series122.0ms (3.1%)

simplify48.0ms (1.2%)

prune168.0ms (4.3%)

localize8.0ms (0.2%)

rewrite27.0ms (0.7%)

series65.0ms (1.7%)

simplify41.0ms (1.1%)

prune76.0ms (1.9%)

regimes728.0ms (18.6%)

bsearch42.0ms (1.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample670.0ms (17.2%)

Profiling