Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

prune4.0ms (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: 0.2b

Counts

2 → 1

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 x (log.f64 x))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

(*.f64 x (log.f64 x))

series15.0ms (1%)

Counts

1 → 3

Calls

1 calls:

15.0ms

(*.f64 x (log.f64 x))

simplify60.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4860	169
1	4860	169

prune41.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series136.0ms (9%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
46.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

simplify33.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5132	612

prune105.0ms (6.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	89	8	97

Merged error: 0b

Counts

97 → 8

localize16.0ms (1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.3b	(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.6b	(cbrt.f64 x)
5.2b	(pow.f64 x 1/3)

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
5.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
2.0ms	(pow.f64 x 1/3)
1.0ms	(cbrt.f64 x)

series143.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
40.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
21.0ms	(cbrt.f64 x)
17.0ms	(pow.f64 x 1/3)

simplify63.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4951	610
1	4951	610

prune108.0ms (7.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0b

Counts

108 → 7

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 3 (.f64 x (log.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))))
0.3b	(.f64 x (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))))
0.6b	(cbrt.f64 (neg.f64 x))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `log-prod_binary64` `associate-l_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `pow1/3_binary64` `log-pow_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`*-commutative_binary64`
1×	`neg-mul-1_binary64` `unswap-sqr_binary64`

Counts

3 → 63

Calls

3 calls:

9.0ms	(.f64 3 (.f64 x (log.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))))
8.0ms	(.f64 x (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))))
2.0ms	(cbrt.f64 (neg.f64 x))

series173.0ms (11.4%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(.f64 3 (.f64 x (log.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)))))
72.0ms	(.f64 x (log.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1))))
25.0ms	(cbrt.f64 (neg.f64 x))

simplify66.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5107	644

prune79.0ms (5.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0b

Counts

79 → 6

regimes67.0ms (4.4%)

Accuracy

Total 0.3b remaining (94%)

Threshold costs 0.3b (94%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end0.0ms (0%)

sample299.0ms (19.7%)

Algorithm

1×

intervals

Results

204.0ms

8000×

body

valid

Details

analyze4.0ms (0.2%)

sample12.0ms (0.8%)

simplify5.0ms (0.3%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite7.0ms (0.5%)

series15.0ms (1%)

simplify60.0ms (3.9%)

prune41.0ms (2.7%)

localize8.0ms (0.6%)

rewrite18.0ms (1.2%)

series136.0ms (9%)

simplify33.0ms (2.2%)

prune105.0ms (6.9%)

localize16.0ms (1%)

rewrite20.0ms (1.3%)

series143.0ms (9.4%)

simplify63.0ms (4.1%)

prune108.0ms (7.1%)

localize9.0ms (0.6%)

rewrite21.0ms (1.4%)

series173.0ms (11.4%)

simplify66.0ms (4.4%)

prune79.0ms (5.2%)

regimes67.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample299.0ms (19.7%)

Profiling