Details

analyze1.3s (25.9%)

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
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5060	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: 26.5b

Counts

2 → 1

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(*.f64 z (-.f64 b y))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
25.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
6.0ms	(*.f64 z (-.f64 b y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series349.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

314.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
18.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(*.f64 z (-.f64 b y))
9.0ms	(*.f64 z (-.f64 t a))

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5221	1306

prune177.0ms (3.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Merged error: 25.8b

Counts

105 → 11

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
0.8b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
24.9b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64` `times-frac_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rec-exp_binary64` `div-inv_binary64` `associate-+r+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 112

Calls

4 calls:

12.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
7.0ms	(*.f64 z (-.f64 b y))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series172.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
23.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
17.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(*.f64 z (-.f64 b y))

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune159.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 25.8b

Counts

135 → 11

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.3b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
0.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
25.5b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
62×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cbrt-undiv_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 152

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
8.0ms	(*.f64 z (-.f64 b y))
8.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series357.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
95.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
18.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
12.0ms	(*.f64 z (-.f64 b y))

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5290	3636

prune194.0ms (3.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	164	11	175

Merged error: 25.8b

Counts

175 → 11

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 b y))
0.5b	(cbrt.f64 (-.f64 b y))
0.5b	(cbrt.f64 (-.f64 b y))
25.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`times-frac_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))
5.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))
3.0ms	(cbrt.f64 (-.f64 b y))

series220.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (.f64 (.f64 z (*.f64 (cbrt.f64 (-.f64 b y)) (cbrt.f64 (-.f64 b y)))) (cbrt.f64 (-.f64 b y)))))
34.0ms	(cbrt.f64 (-.f64 b y))
32.0ms	(cbrt.f64 (-.f64 b y))
31.0ms	(cbrt.f64 (-.f64 b y))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4909	1220
1	4909	1220

prune89.0ms (1.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Merged error: 25.8b

Counts

99 → 11

regimes896.0ms (17.4%)

Accuracy

Total 0.7b remaining (3%)

Threshold costs 0.7b (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms (0%)

sample703.0ms (13.6%)

Algorithm

1×

intervals

Results

408.0ms	8000×	body	80	valid
19.0ms	396×	body	80	invalid

Details

analyze1.3s (25.9%)

sample27.0ms (0.5%)

simplify58.0ms (1.1%)

prune9.0ms (0.2%)

localize12.0ms (0.2%)

rewrite32.0ms (0.6%)

series349.0ms (6.8%)

simplify44.0ms (0.8%)

prune177.0ms (3.4%)

localize13.0ms (0.3%)

rewrite32.0ms (0.6%)

series172.0ms (3.3%)

simplify56.0ms (1.1%)

prune159.0ms (3.1%)

localize13.0ms (0.3%)

rewrite36.0ms (0.7%)

series357.0ms (6.9%)

simplify55.0ms (1.1%)

prune194.0ms (3.8%)

localize16.0ms (0.3%)

rewrite22.0ms (0.4%)

series220.0ms (4.3%)

simplify74.0ms (1.4%)

prune89.0ms (1.7%)

regimes896.0ms (17.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample703.0ms (13.6%)

Profiling