Details

analyze7.0ms (0.3%)

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)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify178.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune5.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (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)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_7602`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `*-un-lft-identity_binary64_7580` `pow1_binary64_7641` `add-cube-cbrt_binary64_7615` `add-exp-log_binary64_7618`
3×	`associate-r_binary64_7520` `associate-l_binary64_7521`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `+-commutative_binary64_7510` `flip-+_binary64_7554` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `sum-log_binary64_7671` `*-commutative_binary64_7511` `flip3-+_binary64_7583`

Counts

2 → 29

Calls

2 calls:

8.0ms	(*.f64 841/108 x)
8.0ms	(+.f64 (*.f64 841/108 x) 4/29)

series57.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 (*.f64 841/108 x) 4/29)
21.0ms	(*.f64 841/108 x)

simplify140.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5087	275

prune54.0ms (2%)

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

Merged error: 0b

Counts

36 → 3

Compiler

Compiled 319 to 266 computations (16.6% saved)

localize12.0ms (0.4%)

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)))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_7602`
10×	`add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `add-exp-log_binary64_7618`
9×	`associate-l_binary64_7521`
8×	`*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
7×	`associate-r_binary64_7520` `sqrt-prod_binary64_7596`
5×	`add-log-exp_binary64_7619`
4×	`pow-prod-down_binary64_7651` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629`
2×	`unswap-sqr_binary64_7548` `*-commutative_binary64_7511`
1×	`+-commutative_binary64_7510` `flip-+_binary64_7554` `sum-log_binary64_7671` `flip3-+_binary64_7583`

Counts

3 → 54

Calls

3 calls:

14.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
14.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
10.0ms	(*.f64 x (sqrt.f64 841/108))

series209.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
70.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
49.0ms	(*.f64 x (sqrt.f64 841/108))

simplify87.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4946	511
1	4946	511

prune95.0ms (3.6%)

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

Merged error: 0b

Counts

66 → 3

Compiler

Compiled 690 to 603 computations (12.6% saved)

localize14.0ms (0.5%)

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))
0.3b	(.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))

rewrite74.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_7602`
25×	`pow1_binary64_7641`
20×	`cbrt-prod_binary64_7611` `add-exp-log_binary64_7618`
15×	`*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
13×	`associate-r_binary64_7520`
11×	`add-cbrt-cube_binary64_7616` `pow-prod-down_binary64_7651`
10×	`cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `associate-l_binary64_7521`
6×	`add-log-exp_binary64_7619` `unswap-sqr_binary64_7548` `swap-sqr_binary64_7547` `pow1/3_binary64_7662`
3×	`*-commutative_binary64_7511`
2×	`pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow-plus_binary64_7643` `pow2_binary64_7661` `+-commutative_binary64_7510` `flip-+_binary64_7554` `sum-log_binary64_7671` `flip3-+_binary64_7583`

Counts

4 → 95

Calls

4 calls:

19.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
19.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
12.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
10.0ms	(*.f64 x (cbrt.f64 841/108))

series252.0ms (9.5%)

Counts

4 → 10

Calls

4 calls:

103.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
101.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
47.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify96.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4876	847
1	4876	847

prune181.0ms (6.8%)

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

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 1355 to 1226 computations (9.5% saved)

regimes115.0ms (4.3%)

Compiler: Compiled 372 to 351 computations (5.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample989.0ms (37.2%)

Algorithm

1×

intervals

Results

430.0ms	7998×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 129 to 123 computations (4.7% saved)

Details

analyze7.0ms (0.3%)

sample22.0ms (0.8%)

simplify178.0ms (6.7%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

rewrite18.0ms (0.7%)

series57.0ms (2.2%)

simplify140.0ms (5.3%)

prune54.0ms (2%)

localize12.0ms (0.4%)

rewrite46.0ms (1.7%)

series209.0ms (7.9%)

simplify87.0ms (3.3%)

prune95.0ms (3.6%)

localize14.0ms (0.5%)

rewrite74.0ms (2.8%)

series252.0ms (9.5%)

simplify96.0ms (3.6%)

prune181.0ms (6.8%)

regimes115.0ms (4.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample989.0ms (37.2%)

Profiling