Details

analyze2.0s (14.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2950	133
1	2950	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14
22.4%	47.2%	30.4%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample2.7s (20.9%)

Algorithm

2×

intervals

Results

25.0ms	514×	body	128	invalid
18.0ms	512×	body	128	valid

Compiler

Compiled 7503 to 8571 computations (-14.2% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune3.0ms (0%)

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

6.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
0.0b	(-.f64 (*.f64 z z) t)
6.4b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite92.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

16×	`cancel-sign-sub-inv_binary64_17435`
11×	`add-sqr-sqrt_binary64_17491`
9×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
8×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `associate--r+_binary64_17405`
7×	`add-log-exp_binary64_17508`
6×	`sub-neg_binary64_17462`
4×	`associate-r_binary64_17409`
3×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `flip3--_binary64_17473` `flip--_binary64_17444`
2×	`associate-*r/_binary64_17411` `difference-of-squares_binary64_17438` `diff-log_binary64_17561`
1×	`associate-l_binary64_17410` `*-commutative_binary64_17400`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1409 to 532 computations (62.2% saved)

series1.0s (7.7%)

Error

5.6b

Counts

3 → 51

Calls

3 calls:

594.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
268.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
105.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1707 to 1400 computations (18% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4924	1628
1	4924	1628

prune108.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Error

2.9b

Counts

116 → 8

Compiler

Compiled 1908 to 720 computations (62.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
1.2b	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
6.4b	(.f64 y (-.f64 (.f64 z z) t))
6.4b	(.f64 y (-.f64 (.f64 z z) t))

rewrite200.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

22×	`add-sqr-sqrt_binary64_17491`
14×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469`
12×	`cancel-sign-sub-inv_binary64_17435`
10×	`pow1_binary64_17530`
8×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418` `associate-r_binary64_17409`
6×	`associate-l_binary64_17410` `sqrt-prod_binary64_17485`
4×	`add-log-exp_binary64_17508` `sub-neg_binary64_17462` `associate-*r/_binary64_17411` `sqrt-div_binary64_17486`
2×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `unswap-sqr_binary64_17437` `flip3--_binary64_17473` `flip--_binary64_17444` `difference-of-squares_binary64_17438` `*-commutative_binary64_17400` `pow1/2_binary64_17549` `sqrt-pow1_binary64_17487` `flip3-+_binary64_17472` `flip-+_binary64_17443` `rem-sqrt-square_binary64_17482`

Counts

4 → 88

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
9.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
8.0ms	(.f64 y (-.f64 (.f64 z z) t))
8.0ms	(.f64 y (-.f64 (.f64 z z) t))

Compiler

Compiled 3424 to 1111 computations (67.6% saved)

series1.4s (10.7%)

Error

2.9b

Counts

4 → 70

Calls

4 calls:

448.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
440.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 y (-.f64 (.f64 z z) t)) -4) (.f64 x x)))
221.0ms	(.f64 y (-.f64 (.f64 z z) t))
209.0ms	(.f64 y (-.f64 (.f64 z z) t))

Compiler

Compiled 6698 to 4474 computations (33.2% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5155	2736

prune220.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	158	8	166

Error

2.9b

Counts

166 → 8

Compiler

Compiled 5296 to 1841 computations (65.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))
6.4b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite159.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

20×	`pow1_binary64_17530`
18×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `sqrt-div_binary64_17486`
16×	`add-sqr-sqrt_binary64_17491` `sqrt-prod_binary64_17485`
14×	`associate-r_binary64_17409`
10×	`add-cube-cbrt_binary64_17504` `-un-lft-identity_binary64_17469` `associate-r/_binary64_17411`
9×	`flip3--_binary64_17473` `flip--_binary64_17444` `pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
4×	`add-log-exp_binary64_17508` `difference-of-squares_binary64_17438` `frac-times_binary64_17479`
2×	`pow1/2_binary64_17549` `sqrt-pow1_binary64_17487` `rem-sqrt-square_binary64_17482` `associate-l/_binary64_17412` `associate-l_binary64_17410` `-commutative_binary64_17400`

Counts

4 → 89

Calls

4 calls:

17.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2848 to 732 computations (74.3% saved)

series778.0ms (5.9%)

Error

2.9b

Counts

4 → 51

Calls

4 calls:

278.0ms	(.f64 (.f64 (.f64 y 4) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
258.0ms	(.f64 (.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
98.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
96.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

Compiler

Compiled 2766 to 1846 computations (33.3% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	2116
1	4940	2116

prune144.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	8	148

Error

2.9b

Counts

148 → 8

Compiler

Compiled 3306 to 1044 computations (68.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (sqrt.f64 t))
0.0b	(+.f64 z (sqrt.f64 t))
0.1b	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
0.2b	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))

rewrite167.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

20×	`add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
18×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `cancel-sign-sub-inv_binary64_17435`
12×	`add-cube-cbrt_binary64_17504`
11×	`sqrt-prod_binary64_17485`
10×	`associate-r/_binary64_17411` `associate-r*_binary64_17409`
9×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
8×	`add-log-exp_binary64_17508` `distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
5×	`flip3-+_binary64_17472` `flip-+_binary64_17443`
4×	`flip3--_binary64_17473` `frac-times_binary64_17479` `flip--_binary64_17444` `difference-of-squares_binary64_17438`
3×	`sub-neg_binary64_17462`
2×	`associate-l/_binary64_17412` `associate-l_binary64_17410` `distribute-lft-out--_binary64_17421` `-commutative_binary64_17400` `distribute-lft-out_binary64_17420`
1×	`sum-log_binary64_17560` `+-commutative_binary64_17399` `diff-log_binary64_17561`

Counts

4 → 101

Calls

4 calls:

16.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
9.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
5.0ms	(-.f64 z (sqrt.f64 t))
4.0ms	(+.f64 z (sqrt.f64 t))

Compiler

Compiled 2698 to 893 computations (66.9% saved)

series674.0ms (5.1%)

Error

2.9b

Counts

4 → 42

Calls

4 calls:

342.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
170.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
74.0ms	(-.f64 z (sqrt.f64 t))
54.0ms	(+.f64 z (sqrt.f64 t))

Compiler

Compiled 1955 to 1322 computations (32.4% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4988	2107
1	4988	2107

prune140.0ms (1.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	141	10	151

Error

2.9b

Counts

151 → 10

Compiler

Compiled 2890 to 974 computations (66.3% saved)

regimes1.1s (8.4%)

Accuracy

Total 0.6b remaining (19.3%)

Threshold costs 0.6b (19.3%)

Compiler

Compiled 9830 to 6987 computations (28.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	326	54
1	326	54

end0.0ms (0%)

sample1.9s (14.1%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
291.0ms	7604×	body	128	invalid

Compiler

Compiled 930 to 663 computations (28.7% saved)

Details

analyze2.0s (14.9%)

sample2.7s (20.9%)

simplify45.0ms (0.3%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite92.0ms (0.7%)

series1.0s (7.7%)

simplify75.0ms (0.6%)

prune108.0ms (0.8%)

localize12.0ms (0.1%)

rewrite200.0ms (1.5%)

series1.4s (10.7%)

simplify55.0ms (0.4%)

prune220.0ms (1.7%)

localize15.0ms (0.1%)

rewrite159.0ms (1.2%)

series778.0ms (5.9%)

simplify74.0ms (0.6%)

prune144.0ms (1.1%)

localize12.0ms (0.1%)

rewrite167.0ms (1.3%)

series674.0ms (5.1%)

simplify85.0ms (0.6%)

prune140.0ms (1.1%)

regimes1.1s (8.4%)

bsearch2.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.9s (14.1%)

Profiling