Details

analyze3.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample25.0ms (6.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify14.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune9.0ms (2.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (1.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite10.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

series9.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify71.0ms (18.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4972	312
1	4972	312

prune30.0ms (7.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

Compiler

Compiled 422 to 123 computations (70.9% saved)

localize7.0ms (1.9%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.3b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite43.0ms (11.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

18.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
10.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series73.0ms (18.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
24.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify87.0ms (22.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4939	1685
1	4939	1685

Details

analyze3.0ms (0.7%)

sample25.0ms (6.3%)

simplify14.0ms (3.6%)

prune9.0ms (2.2%)

localize6.0ms (1.5%)

rewrite10.0ms (2.7%)

series9.0ms (2.3%)

simplify71.0ms (18.1%)

prune30.0ms (7.7%)

localize7.0ms (1.9%)

rewrite43.0ms (11.1%)

series73.0ms (18.8%)

simplify87.0ms (22.3%)

prune3.0ms (0.8%)

Profiling