Details

analyze34.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample25.0ms (1.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	157×	body	80	invalid

simplify71.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5100	6

prune5.0ms (0.3%)

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: 0.0b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 y y))
0.0b	(.f64 x (exp.f64 (.f64 y y)))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

series13.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

simplify66.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4947	208
1	4947	208

prune45.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `unpow-prod-down_binary64`
6×	`add-exp-log_binary64`
4×	`pow-pow_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

6.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
4.0ms	(pow.f64 (exp.f64 y) y)

series21.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
6.0ms	(pow.f64 (exp.f64 y) y)

simplify67.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	340
1	4956	340

prune66.0ms (3.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
0.0b	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))

rewrite26.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-exp-log_binary64`
31×	`prod-exp_binary64`
25×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`associate-r_binary64`
11×	`pow1_binary64` `pow-exp_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow-to-exp_binary64` `pow1/3_binary64`
7×	`associate-l_binary64`
6×	`swap-sqr_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`sqr-pow_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
8.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
2.0ms	(cbrt.f64 (exp.f64 y))
2.0ms	(cbrt.f64 (exp.f64 y))

series130.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y))) y)) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
28.0ms	(cbrt.f64 (exp.f64 y))
22.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
17.0ms	(cbrt.f64 (exp.f64 y))

simplify59.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5203	720

prune116.0ms (6.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
0.0b	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
0.0b	(pow.f64 (pow.f64 (exp.f64 y) y) 3)

rewrite30.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`cbrt-prod_binary64`
47×	`unpow-prod-down_binary64`
39×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cube-prod_binary64`
23×	`associate-r_binary64`
13×	`sqr-pow_binary64`
9×	`unswap-sqr_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`pow-unpow_binary64` `add-cbrt-cube_binary64`
5×	`pow-pow_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `associate-l_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`
1×	`pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

11.0ms	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
4.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
4.0ms	(pow.f64 (pow.f64 (exp.f64 y) y) 3)
3.0ms	(pow.f64 (exp.f64 y) y)

series39.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
13.0ms	(pow.f64 (pow.f64 (exp.f64 y) y) 3)
6.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
5.0ms	(pow.f64 (exp.f64 y) y)

simplify53.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5143	1087

prune134.0ms (7.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Merged error: 0b

Counts

144 → 4

regimes150.0ms (8.8%)

Accuracy

Total 0.0b remaining (65.2%)

Threshold costs 0.0b (65.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	17
1	11	17

end0.0ms (0%)

sample501.0ms (29.5%)

Algorithm

1×

intervals

Results

205.0ms	8000×	body	80	valid
101.0ms	4192×	body	80	invalid

Details

analyze34.0ms (2%)

sample25.0ms (1.5%)

simplify71.0ms (4.2%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

rewrite8.0ms (0.4%)

series13.0ms (0.7%)

simplify66.0ms (3.9%)

prune45.0ms (2.7%)

localize6.0ms (0.3%)

rewrite11.0ms (0.7%)

series21.0ms (1.2%)

simplify67.0ms (3.9%)

prune66.0ms (3.9%)

localize10.0ms (0.6%)

rewrite26.0ms (1.5%)

series130.0ms (7.6%)

simplify59.0ms (3.5%)

prune116.0ms (6.8%)

localize8.0ms (0.5%)

rewrite30.0ms (1.7%)

series39.0ms (2.3%)

simplify53.0ms (3.1%)

prune134.0ms (7.9%)

regimes150.0ms (8.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample501.0ms (29.5%)

Profiling