Details

analyze766.0ms (15.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

sample88.0ms (1.8%)

Algorithm

1×

intervals

Results

31.0ms	31×	body	2560	valid
20.0ms	38×	body	1280	valid
12.0ms	127×	body	80	valid
8.0ms	26×	body	640	valid
6.0ms	24×	body	320	valid
2.0ms	10×	body	160	valid

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune6.0ms (0.1%)

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: 34.8b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`tan-quot_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 43

Calls

3 calls:

6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series47.0ms (1%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
18.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5037	733

prune145.0ms (2.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	35	17	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	17	53

Merged error: 27.0b

Counts

53 → 17

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune48.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 27.0b

Counts

17 → 17

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`cbrt-undiv_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `tan-quot_binary64`
1×	`pow-to-exp_binary64` `associate-/l/_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cube-div_binary64` `clear-num_binary64` `frac-2neg_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series72.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)
22.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
17.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5530	1719

prune219.0ms (4.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	5	10	15
Picked	1	0	1
Done	0	1	1
Total	97	21	118

Merged error: 27.0b

Counts

118 → 21

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
5.0b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
30.1b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
30.2b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`cbrt-prod_binary64`
61×	`unpow-prod-down_binary64` `cube-prod_binary64`
45×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `sqr-pow_binary64` `associate-/l_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow-pow_binary64` `cube-div_binary64` `tan-quot_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 132

Calls

4 calls:

11.0ms	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
6.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
3.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
3.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series74.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0)))) 3)) 3)
21.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
17.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5918	2811

prune243.0ms (4.9%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	3	16	19
Picked	0	1	1
Done	0	1	1
Total	144	21	165

Merged error: 27.0b

Counts

165 → 21

regimes514.0ms (10.5%)

Accuracy

Total 2.3b remaining (8.2%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample2.4s (49.1%)

Algorithm

1×

intervals

Results

701.0ms	1366×	body	1280	valid
678.0ms	662×	body	2560	valid
334.0ms	1005×	body	640	valid
310.0ms	4078×	body	80	valid
143.0ms	584×	body	320	valid
60.0ms	305×	body	160	valid

Details

analyze766.0ms (15.6%)

sample88.0ms (1.8%)

simplify5.0ms (0.1%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite12.0ms (0.3%)

series47.0ms (1%)

simplify42.0ms (0.8%)

prune145.0ms (2.9%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0.1%)

prune48.0ms (1%)

localize13.0ms (0.3%)

rewrite22.0ms (0.4%)

series72.0ms (1.5%)

simplify55.0ms (1.1%)

prune219.0ms (4.5%)

localize18.0ms (0.4%)

rewrite29.0ms (0.6%)

series74.0ms (1.5%)

simplify68.0ms (1.4%)

prune243.0ms (4.9%)

regimes514.0ms (10.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (49.1%)

Profiling