Details

analyze1.5s (63.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample35.0ms (1.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
6.0ms	124×	body	80	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune22.0ms (0.9%)

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 → 2

Compiler

Compiled 41 to 37 computations (9.8% saved)

localize28.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.4b	(.f64 (.f64 a z) b)

rewrite42.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
10.0ms	(.f64 (.f64 a z) b)
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.0ms	(+.f64 x (*.f64 y z))

series66.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
23.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
7.0ms	(+.f64 x (*.f64 y z))
7.0ms	(.f64 (.f64 a z) b)

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5330	1027

prune64.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

Compiler

Compiled 1418 to 273 computations (80.7% saved)

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 a (.f64 z b)))
4.7b	(.f64 a (.f64 z b))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 a (.f64 z b)))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.0ms	(.f64 a (.f64 z b))
3.0ms	(+.f64 x (*.f64 y z))

series97.0ms (4%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 a (.f64 z b)))
23.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
14.0ms	(+.f64 x (*.f64 y z))
8.0ms	(.f64 a (.f64 z b))

simplify41.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5081	1025

prune46.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 1405 to 263 computations (81.3% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.1b	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
6.4b	(.f64 (.f64 a z) b)

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`pow1_binary64`
24×	`sqrt-prod_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`associate-r_binary64`
8×	`flip3-+_binary64` `swap-sqr_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`pow-prod-down_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 105

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
6.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
6.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
5.0ms	(.f64 (.f64 a z) b)

series155.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
56.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
19.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
7.0ms	(.f64 (.f64 a z) b)

simplify101.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5147	2305

Details

analyze1.5s (63.2%)

sample35.0ms (1.5%)

simplify23.0ms (1%)

prune22.0ms (0.9%)

localize28.0ms (1.2%)

rewrite42.0ms (1.8%)

series66.0ms (2.8%)

simplify61.0ms (2.5%)

prune64.0ms (2.7%)

localize19.0ms (0.8%)

rewrite26.0ms (1.1%)

series97.0ms (4%)

simplify41.0ms (1.7%)

prune46.0ms (1.9%)

localize13.0ms (0.5%)

rewrite37.0ms (1.5%)

series155.0ms (6.5%)

simplify101.0ms (4.2%)

prune5.0ms (0.2%)

Profiling