Details

analyze193.0ms (12.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample17.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify251.0ms (15.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	5543	12

prune4.0ms (0.3%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.3b	(*.f64 x (log.f64 y))

rewrite173.0ms (10.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`associate--l+_binary64`
18×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow1_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
7.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)

series38.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 x (log.f64 y))
11.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
10.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)

simplify92.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4943	917
1	4943	917

prune63.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	64	9	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	9	74

Merged error: 0.0b

Counts

74 → 9

Compiler

Compiled 1114 to 325 computations (70.8% saved)

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite23.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series75.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
21.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify55.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5013	760

prune86.0ms (5.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

Compiler

Compiled 1574 to 710 computations (54.9% saved)

localize19.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite26.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series75.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
17.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
15.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 1/3)

simplify125.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4850	917
1	4850	917

prune78.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

Compiler

Compiled 2086 to 1039 computations (50.2% saved)

localize22.0ms (1.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 y) 5/6))
0.3b	(*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3)))
0.4b	(*.f64 (log.f64 y) 5/6)
4.2b	(pow.f64 (sqrt.f64 y) 1/3)

rewrite24.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
16×	`pow1_binary64`
14×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
10×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
9×	`sqrt-prod_binary64`
8×	`associate-r_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `sqr-pow_binary64` `*-commutative_binary64`
2×	`log-pow_binary64` `unswap-sqr_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `sqrt-pow1_binary64` `pow-exp_binary64` `unpow1/3_binary64`

Counts

4 → 100

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3)))
6.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
5.0ms	(*.f64 (log.f64 y) 5/6)
3.0ms	(pow.f64 (sqrt.f64 y) 1/3)

series52.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 x (log.f64 (pow.f64 (sqrt.f64 y) 1/3)))
11.0ms	(pow.f64 (sqrt.f64 y) 1/3)
9.0ms	(*.f64 (log.f64 y) 5/6)
8.0ms	(.f64 x (.f64 (log.f64 y) 5/6))

simplify70.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5252	1409

Details

analyze193.0ms (12.2%)

sample17.0ms (1.1%)

simplify251.0ms (15.8%)

prune4.0ms (0.3%)

localize7.0ms (0.4%)

rewrite173.0ms (10.9%)

series38.0ms (2.4%)

simplify92.0ms (5.8%)

prune63.0ms (4%)

localize12.0ms (0.8%)

rewrite23.0ms (1.5%)

series75.0ms (4.7%)

simplify55.0ms (3.5%)

prune86.0ms (5.4%)

localize19.0ms (1.2%)

rewrite26.0ms (1.6%)

series75.0ms (4.7%)

simplify125.0ms (7.8%)

prune78.0ms (4.9%)

localize22.0ms (1.4%)

rewrite24.0ms (1.5%)

series52.0ms (3.3%)

simplify70.0ms (4.4%)

prune10.0ms (0.6%)

Profiling