Details

analyze3.0ms (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

Compiler

Compiled 5 to 4 computations (20% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

prune2.0ms (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

Compiler

Compiled 8 to 6 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

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:

5.0ms

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

series15.0ms (1%)

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify88.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4862	265
1	4862	265

prune21.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

Compiler

Compiled 310 to 106 computations (65.8% saved)

localize9.0ms (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)))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite20.0ms (1.3%)

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:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series111.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
38.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify56.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5134	988

prune59.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0b

Counts

98 → 7

Compiler

Compiled 1540 to 613 computations (60.2% saved)

localize17.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series69.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (cbrt.f64 x))
16.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify76.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5120	391

prune44.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Merged error: 0b

Counts

66 → 7

Compiler

Compiled 1619 to 746 computations (53.9% saved)

localize16.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.7b	(cbrt.f64 x)
5.0b	(pow.f64 x 1/3)

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
8×	`pow1_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
2×	`pow1/3_binary64` `log-pow_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-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 → 85

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
2.0ms	(pow.f64 x 1/3)
1.0ms	(cbrt.f64 x)

series119.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
38.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
15.0ms	(cbrt.f64 x)
13.0ms	(pow.f64 x 1/3)

simplify95.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5120	996

prune51.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0b

Counts

104 → 7

Compiler

Compiled 1599 to 767 computations (52% saved)

regimes49.0ms (3.2%)

Compiler: Compiled 210 to 128 computations (39% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms (0%)

sample547.0ms (35.7%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid
0.0ms	1×	body	80	nan

Compiler

Compiled 109 to 68 computations (37.6% saved)

Details

analyze3.0ms (0.2%)

sample11.0ms (0.7%)

simplify12.0ms (0.8%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

rewrite6.0ms (0.4%)

series15.0ms (1%)

simplify88.0ms (5.8%)

prune21.0ms (1.4%)

localize9.0ms (0.6%)

rewrite20.0ms (1.3%)

series111.0ms (7.3%)

simplify56.0ms (3.6%)

prune59.0ms (3.8%)

localize17.0ms (1.1%)

rewrite7.0ms (0.4%)

series69.0ms (4.5%)

simplify76.0ms (4.9%)

prune44.0ms (2.9%)

localize16.0ms (1.1%)

rewrite20.0ms (1.3%)

series119.0ms (7.8%)

simplify95.0ms (6.2%)

prune51.0ms (3.4%)

regimes49.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample547.0ms (35.7%)

Profiling