Details

analyze289.0ms (29.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (1.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify45.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	570	10
1	570	10

prune4.0ms (0.4%)

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)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite11.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`associate-l_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

series8.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify69.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5164	530

prune32.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

Compiler

Compiled 519 to 268 computations (48.4% saved)

localize8.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 z))
0.2b	(cbrt.f64 (-.f64 1 z))
0.2b	(cbrt.f64 (-.f64 1 z))
0.2b	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))

rewrite27.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
4.0ms	(cbrt.f64 (-.f64 1 z))
4.0ms	(cbrt.f64 (-.f64 1 z))
3.0ms	(cbrt.f64 (-.f64 1 z))

series23.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
5.0ms	(cbrt.f64 (-.f64 1 z))
5.0ms	(cbrt.f64 (-.f64 1 z))
5.0ms	(cbrt.f64 (-.f64 1 z))

simplify74.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5028	1774

prune111.0ms (11.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

Compiler

Compiled 2839 to 1973 computations (30.5% saved)

localize6.0ms (0.7%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) z)

series6.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) z)

simplify72.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5626	223

prune15.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	24	4	28

Merged error: 0b

Counts

28 → 4

Compiler

Compiled 284 to 96 computations (66.2% saved)

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))

rewrite32.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`frac-times_binary64`
24×	`flip3-+_binary64` `flip-+_binary64`
16×	`associate-*l/_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`add-cube-cbrt_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `sqrt-prod_binary64`
3×	`distribute-lft-out_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 83

Calls

2 calls:

16.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))
12.0ms	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))

series38.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z))) (-.f64 1 (sqrt.f64 z)))
14.0ms	(*.f64 (+.f64 x y) (+.f64 1 (sqrt.f64 z)))

simplify59.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5159	2207

Details

analyze289.0ms (29.7%)

sample16.0ms (1.6%)

simplify45.0ms (4.6%)

prune4.0ms (0.4%)

localize5.0ms (0.5%)

rewrite11.0ms (1.1%)

series8.0ms (0.8%)

simplify69.0ms (7.1%)

prune32.0ms (3.3%)

localize8.0ms (0.8%)

rewrite27.0ms (2.8%)

series23.0ms (2.4%)

simplify74.0ms (7.6%)

prune111.0ms (11.4%)

localize6.0ms (0.7%)

rewrite7.0ms (0.7%)

series6.0ms (0.7%)

simplify72.0ms (7.4%)

prune15.0ms (1.5%)

localize8.0ms (0.8%)

rewrite32.0ms (3.3%)

series38.0ms (3.9%)

simplify59.0ms (6.1%)

prune8.0ms (0.9%)

Profiling