Details

analyze515.0ms (14.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify280.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (270.0ms)

Iter	Nodes	Cost
0	4823	22
1	4823	22

prune6.0ms (0.2%)

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: 27.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(-.f64 (.f64 b c) (.f64 a d))
26.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 54

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series61.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
20.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(+.f64 (.f64 c c) (.f64 d d))

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5787	1456

prune73.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	54	9	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	9	64

Merged error: 26.3b

Counts

64 → 9

Compiler

Compiled 1663 to 312 computations (81.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b c) (.f64 a d))
16.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
5.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series65.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
11.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5762	2368

prune81.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 24.1b

Counts

106 → 10

Compiler

Compiled 3410 to 487 computations (85.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b c) (.f64 a d))
16.9b	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
17×	`sqrt-prod_binary64`
13×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
5×	`unswap-sqr_binary64`
4×	`prod-exp_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series64.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (-.f64 (.f64 b c) (.f64 a d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
11.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5083	2281

prune78.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Merged error: 24.1b

Counts

116 → 10

Compiler

Compiled 3754 to 723 computations (80.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b c) (.f64 a d))
16.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
30.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64` `sqrt-prod_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series64.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
13.0ms	(-.f64 (.f64 b c) (.f64 a d))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify86.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5762	2368

prune50.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 24.1b

Counts

107 → 10

Compiler

Compiled 3398 to 574 computations (83.1% saved)

regimes343.0ms (9.4%)

Compiler: Compiled 1149 to 690 computations (39.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	114
1	66	114

end0.0ms (0%)

sample1.4s (39.6%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	80	valid
19.0ms	457×	body	80	invalid

Compiler

Compiled 334 to 181 computations (45.8% saved)

Details

analyze515.0ms (14.1%)

sample22.0ms (0.6%)

simplify280.0ms (7.7%)

prune6.0ms (0.2%)

localize10.0ms (0.3%)

rewrite19.0ms (0.5%)

series61.0ms (1.7%)

simplify84.0ms (2.3%)

prune73.0ms (2%)

localize12.0ms (0.3%)

rewrite27.0ms (0.7%)

series65.0ms (1.8%)

simplify89.0ms (2.4%)

prune81.0ms (2.2%)

localize13.0ms (0.4%)

rewrite32.0ms (0.9%)

series64.0ms (1.8%)

simplify81.0ms (2.2%)

prune78.0ms (2.1%)

localize13.0ms (0.4%)

rewrite25.0ms (0.7%)

series64.0ms (1.8%)

simplify86.0ms (2.4%)

prune50.0ms (1.4%)

regimes343.0ms (9.4%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (39.6%)

Profiling