Details

analyze47.0ms (1.8%)

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%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	6×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify107.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

prune2.0ms (0.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_3169`
6×	`associate-r_binary64_3087`
4×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182` `sqrt-prod_binary64_3163`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `associate-l_binary64_3088`
2×	`unswap-sqr_binary64_3115`
1×	`*-commutative_binary64_3078` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186`

Counts

1 → 22

Calls

2 calls:

5.0ms	(*.f64 y (sqrt.f64 x))
0.0ms	(*.f64 y (sqrt.f64 x))

series49.0ms (1.9%)

Counts

1 → 6

Calls

1 calls:

49.0ms

(*.f64 y (sqrt.f64 x))

Compiler

Compiled 120 to 103 computations (14.2% saved)

simplify53.0ms (2%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4980	229
1	4980	229

prune38.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

0.0b

Counts

29 → 5

Compiler

Compiled 369 to 174 computations (52.8% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_3163`
25×	`add-sqr-sqrt_binary64_3169`
18×	`associate-r_binary64_3087`
15×	`*-un-lft-identity_binary64_3147` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`sqrt-pow1_binary64_3165`
4×	`pow-prod-down_binary64_3218` `rem-sqrt-square_binary64_3160` `prod-exp_binary64_3196` `pow1/2_binary64_3227` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
3×	`unswap-sqr_binary64_3115`
2×	`*-commutative_binary64_3078`

Counts

4 → 88

Calls

8 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
9.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))
0.0ms	(sqrt.f64 (sqrt.f64 x))

series271.0ms (10.4%)

Counts

4 → 18

Calls

4 calls:

132.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
50.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
46.0ms	(sqrt.f64 (sqrt.f64 x))
44.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 459 to 393 computations (14.4% saved)

simplify83.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5186	879

prune98.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	104	7	111

Error

Counts

111 → 7

Compiler

Compiled 1699 to 643 computations (62.2% saved)

localize11.0ms (0.4%)

Local error

Found 6 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_3163`
19×	`add-sqr-sqrt_binary64_3169`
18×	`add-exp-log_binary64_3185`
16×	`associate-r_binary64_3087`
11×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
10×	`add-cbrt-cube_binary64_3183` `prod-exp_binary64_3196`
7×	`pow1_binary64_3208`
4×	`sqrt-pow1_binary64_3165` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
3×	`unpow-prod-down_binary64_3226` `unswap-sqr_binary64_3115` `add-log-exp_binary64_3186`
2×	`*-commutative_binary64_3078` `pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `rem-sqrt-square_binary64_3160` `pow1/2_binary64_3227`
1×	`pow-prod-down_binary64_3218` `sqr-pow_binary64_3119`

Counts

3 → 69

Calls

6 calls:

12.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))
0.0ms	(sqrt.f64 (sqrt.f64 x))
0.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

series247.0ms (9.5%)

Counts

3 → 15

Calls

3 calls:

143.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
45.0ms	(sqrt.f64 (sqrt.f64 x))

Compiler

Compiled 410 to 353 computations (13.9% saved)

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4946	891
1	4946	891

prune91.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Error

Counts

91 → 5

Compiler

Compiled 1417 to 741 computations (47.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))
0.3b	(*.f64 y (pow.f64 x 1/4))
0.3b	(*.f64 y (pow.f64 x 1/4))
0.3b	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-exp-log_binary64_3185`
24×	`prod-exp_binary64_3196`
14×	`associate-r_binary64_3087`
12×	`add-sqr-sqrt_binary64_3169`
9×	`add-cbrt-cube_binary64_3183`
8×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216`
7×	`unpow-prod-down_binary64_3226` `*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
4×	`cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
3×	`unswap-sqr_binary64_3115` `sqr-pow_binary64_3119`
2×	`*-commutative_binary64_3078` `pow1_binary64_3208` `add-log-exp_binary64_3186`

Counts

2 → 55

Calls

4 calls:

8.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))
6.0ms	(*.f64 y (pow.f64 x 1/4))
0.0ms	(*.f64 y (pow.f64 x 1/4))
0.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

series213.0ms (8.2%)

Counts

2 → 12

Calls

2 calls:

162.0ms	(*.f64 y (pow.f64 x 1/4))
51.0ms	(.f64 (.f64 y (pow.f64 x 1/4)) (pow.f64 x 1/4))

Compiler

Compiled 290 to 249 computations (14.1% saved)

simplify71.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4875	616
1	4875	616

prune60.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 959 to 586 computations (38.9% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	169	586
1	169	586

regimes126.0ms (4.8%)

Compiler: Compiled 1130 to 832 computations (26.4% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.7%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 10 computations (-11.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms (0%)

sample818.0ms (31.3%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
4.0ms	142×	body	128	nan
2.0ms	80×	body	128	invalid

Compiler

Compiled 388 to 290 computations (25.3% saved)

Pareto

0.0

Details

analyze47.0ms (1.8%)

sample15.0ms (0.6%)

simplify107.0ms (4.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.3%)

series49.0ms (1.9%)

simplify53.0ms (2%)

prune38.0ms (1.5%)

localize8.0ms (0.3%)

rewrite29.0ms (1.1%)

series271.0ms (10.4%)

simplify83.0ms (3.2%)

prune98.0ms (3.7%)

localize11.0ms (0.4%)

rewrite26.0ms (1%)

series247.0ms (9.5%)

simplify79.0ms (3%)

prune91.0ms (3.5%)

localize9.0ms (0.4%)

rewrite19.0ms (0.7%)

series213.0ms (8.2%)

simplify71.0ms (2.7%)

prune60.0ms (2.3%)

simplify10.0ms (0.4%)

regimes126.0ms (4.8%)

bsearch0.0ms (0%)

regimes17.0ms (0.7%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample818.0ms (31.3%)

Profiling