Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify101.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(*.f64 841/108 x)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_5897`
4×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936` `add-log-exp_binary64_5914`
3×	`associate-r_binary64_5815` `associate-l_binary64_5816`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series48.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 (*.f64 841/108 x) 4/29)
23.0ms	(*.f64 841/108 x)

simplify129.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5087	275

prune47.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 319 to 266 computations (16.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.3b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_5897`
10×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
9×	`associate-l_binary64_5816`
8×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
7×	`sqrt-prod_binary64_5891` `associate-r_binary64_5815`
5×	`add-log-exp_binary64_5914`
4×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `prod-exp_binary64_5924`
2×	`unswap-sqr_binary64_5843` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 54

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
12.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
9.0ms	(*.f64 x (sqrt.f64 841/108))

series169.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

61.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
60.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
48.0ms	(*.f64 x (sqrt.f64 841/108))

simplify64.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4946	511
1	4946	511

prune69.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 690 to 603 computations (12.6% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite41.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_5897`
25×	`pow1_binary64_5936`
20×	`cbrt-prod_binary64_5906` `add-exp-log_binary64_5913`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
13×	`associate-r_binary64_5815`
11×	`pow-prod-down_binary64_5946` `add-cbrt-cube_binary64_5911`
10×	`cbrt-unprod_binary64_5908` `associate-l_binary64_5816` `prod-exp_binary64_5924`
6×	`unswap-sqr_binary64_5843` `pow1/3_binary64_5957` `add-log-exp_binary64_5914` `swap-sqr_binary64_5842`
3×	`*-commutative_binary64_5806`
2×	`pow-sqr_binary64_5848` `pow-prod-up_binary64_5945`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `pow-plus_binary64_5938` `pow2_binary64_5956` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

series199.0ms (9.7%)

Counts

4 → 10

Calls

4 calls:

94.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
73.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
31.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify76.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4876	847
1	4876	847

prune131.0ms (6.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1355 to 1226 computations (9.5% saved)

regimes80.0ms (3.9%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

Compiler

Compiled 330 to 321 computations (2.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample790.0ms (38.7%)

Algorithm

1×

intervals

Results

352.0ms	7992×	body	128	valid
1.0ms	4×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	4×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 115 to 113 computations (1.7% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.6%)

simplify101.0ms (5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite10.0ms (0.5%)

series48.0ms (2.4%)

simplify129.0ms (6.3%)

prune47.0ms (2.3%)

localize6.0ms (0.3%)

rewrite37.0ms (1.8%)

series169.0ms (8.3%)

simplify64.0ms (3.2%)

prune69.0ms (3.4%)

localize14.0ms (0.7%)

rewrite41.0ms (2%)

series199.0ms (9.7%)

simplify76.0ms (3.7%)

prune131.0ms (6.4%)

regimes80.0ms (3.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

end0.0ms (0%)

sample790.0ms (38.7%)

Profiling