Details

analyze479.0ms (12.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4756	9
1	4756	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify183.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4756	9
1	4756	9

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

30.9b

Counts

2 → 1

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (pow.f64 x 2))
30.0b	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite60.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

30.8b

Rules

11×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`add-exp-log_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64`
3×	`pow1_binary64` `prod-exp_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 2 (pow.f64 x 2))
5.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

Compiler

Compiled 437 to 371 computations (15.1% saved)

series71.0ms (1.9%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

37.0ms	(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
25.0ms	(*.f64 2 (pow.f64 x 2))

Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4987	360
1	4987	360

prune34.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Error

0.2b

Counts

44 → 6

Compiler

Compiled 441 to 311 computations (29.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
0.6b	(cbrt.f64 x)
30.0b	(sqrt.f64 (.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2))))
30.9b	(cbrt.f64 (pow.f64 x 2))

rewrite99.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

23×	`pow1_binary64`
19×	`cbrt-prod_binary64`
13×	`add-exp-log_binary64`
12×	`pow-prod-down_binary64`
11×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
6×	`unpow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
2×	`pow1/3_binary64` `unpow2_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
10.0ms	(sqrt.f64 (.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2))))
2.0ms	(cbrt.f64 (pow.f64 x 2))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1264 to 806 computations (36.2% saved)

series233.0ms (6.2%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt.f64 (pow.f64 x 2))
74.0ms	(cbrt.f64 x)
41.0ms	(sqrt.f64 (.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2))))
31.0ms	(.f64 (.f64 2 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))

Compiler

Compiled 363 to 312 computations (14% saved)

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4892	643
1	4892	643

prune64.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Error

0.2b

Counts

87 → 6

Compiler

Compiled 1056 to 689 computations (34.8% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite181.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

158×	`pow1_binary64`
154×	`sqrt-pow1_binary64`
82×	`pow-prod-down_binary64`
33×	`sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`pow1/2_binary64`
21×	`pow-prod-up_binary64`
13×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `pow-sqr_binary64`
9×	`swap-sqr_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`rem-sqrt-square_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64`

Counts

4 → 131

Calls

4 calls:

18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
5.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
4.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
4.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 2665 to 1778 computations (33.3% saved)

series121.0ms (3.2%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
30.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
29.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (*.f64 x x)))))
22.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))

Compiler

Compiled 437 to 362 computations (17.2% saved)

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5188	1158

prune116.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	142	7	149

Error

0.2b

Counts

149 → 7

Compiler

Compiled 1917 to 1257 computations (34.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
0.3b	(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x)))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x))))
30.0b	(sqrt.f64 (.f64 2 (.f64 x x)))

rewrite140.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

32×	`sqrt-prod_binary64`
29×	`pow1_binary64`
25×	`add-sqr-sqrt_binary64`
16×	`pow-prod-down_binary64` `sqrt-pow1_binary64` `associate-l_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1/2_binary64`
7×	`associate-r_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`sqrt-unprod_binary64`
2×	`*-commutative_binary64`
1×	`rem-sqrt-square_binary64`

Counts

4 → 90

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x))))
8.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x)))
5.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))
4.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 1993 to 1273 computations (36.1% saved)

series149.0ms (4%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

43.0ms	(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x)))
40.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x)))) (.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (fabs.f64 x))))
31.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
25.0ms	(sqrt.f64 (sqrt.f64 (.f64 2 (.f64 x x))))

Compiler

Compiled 511 to 426 computations (16.6% saved)

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5109	1588

prune107.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	1	2	3
Picked	1	0	1
Done	2	1	3
Total	102	7	109

Error

0.0b

Counts

109 → 7

Compiler

Compiled 1937 to 1245 computations (35.7% saved)

regimes265.0ms (7.1%)

Accuracy

Total 0.4b remaining (96.2%)

Threshold costs 0.4b (96.2%)

Compiler

Compiled 2384 to 2037 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	17
1	10	17

end0.0ms (0%)

sample1.1s (29.7%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 522 to 442 computations (15.3% saved)

Details

analyze479.0ms (12.8%)

sample19.0ms (0.5%)

simplify183.0ms (4.9%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite60.0ms (1.6%)

series71.0ms (1.9%)

simplify54.0ms (1.4%)

prune34.0ms (0.9%)

localize9.0ms (0.2%)

rewrite99.0ms (2.6%)

series233.0ms (6.2%)

simplify67.0ms (1.8%)

prune64.0ms (1.7%)

localize6.0ms (0.2%)

rewrite181.0ms (4.8%)

series121.0ms (3.2%)

simplify77.0ms (2.1%)

prune116.0ms (3.1%)

localize11.0ms (0.3%)

rewrite140.0ms (3.7%)

series149.0ms (4%)

simplify75.0ms (2%)

prune107.0ms (2.8%)

regimes265.0ms (7.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29.7%)

Profiling