Details

analyze425.0ms (12.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_18855`
7×	`*-un-lft-identity_binary64_18833`
6×	`associate-l_binary64_18774`
4×	`add-log-exp_binary64_18872` `pow1_binary64_18894` `add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869` `add-cube-cbrt_binary64_18868`
3×	`associate-r_binary64_18773`
2×	`associate-*l/_binary64_18776` `difference-of-squares_binary64_18802`
1×	`sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `flip3--_binary64_18837` `flip--_binary64_18808` `distribute-lft-out--_binary64_18785` `*-commutative_binary64_18764`

Counts

2 → 34

Calls

2 calls:

8.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
7.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 571 to 316 computations (44.7% saved)

series198.0ms (5.7%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

123.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
57.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 529 to 325 computations (38.6% saved)

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5615	606

prune39.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

0.0b

Counts

63 → 3

Compiler

Compiled 689 to 202 computations (70.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 x (-.f64 z y)))
0.0b	(*.f64 x (-.f64 z y))

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_18855` `cancel-sign-sub-inv_binary64_18799`
10×	`*-un-lft-identity_binary64_18833`
8×	`add-cube-cbrt_binary64_18868` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `associate-+r+_binary64_18765`
5×	`associate-r_binary64_18773`
4×	`pow1_binary64_18894` `add-exp-log_binary64_18871` `add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869` `sub-neg_binary64_18826`
3×	`associate-l_binary64_18774`
2×	`associate-*r/_binary64_18775`
1×	`pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `unswap-sqr_binary64_18801` `flip3--_binary64_18837` `flip--_binary64_18808` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `*-commutative_binary64_18764` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `+-commutative_binary64_18763`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 z y))
5.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series237.0ms (6.9%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

128.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
97.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4912	764
1	4912	764

prune41.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 839 to 174 computations (79.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))

rewrite118.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_18864`
37×	`add-sqr-sqrt_binary64_18855`
35×	`*-un-lft-identity_binary64_18833`
18×	`cbrt-div_binary64_18865`
15×	`add-cube-cbrt_binary64_18868`
11×	`pow1_binary64_18894`
10×	`swap-sqr_binary64_18800`
9×	`pow1/3_binary64_18915` `flip3--_binary64_18837` `flip--_binary64_18808` `distribute-lft-out--_binary64_18785`
8×	`associate-l_binary64_18774` `associate-r_binary64_18773`
7×	`difference-of-squares_binary64_18802`
6×	`add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869` `frac-times_binary64_18843` `unswap-sqr_binary64_18801`
2×	`pow-prod-down_binary64_18904` `pow-prod-up_binary64_18903` `pow-sqr_binary64_18806` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
1×	`pow2_binary64_18914` `pow-plus_binary64_18896` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `*-commutative_binary64_18764`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 2624 to 588 computations (77.6% saved)

series319.0ms (9.2%)

Error

Counts

4 → 30

Calls

4 calls:

120.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
60.0ms	(cbrt.f64 (-.f64 z y))
57.0ms	(cbrt.f64 (-.f64 z y))
56.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 2031 to 1405 computations (30.8% saved)

simplify83.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4947	1695
1	4947	1695

prune106.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Compiler

Compiled 2904 to 738 computations (74.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 x (-.f64 z y)))
0.0b	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.0b	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.2b	(.f64 (sqrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))

rewrite110.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_18855`
24×	`sqrt-prod_binary64_18849`
21×	`pow1_binary64_18894`
16×	`add-cube-cbrt_binary64_18868` `sqrt-div_binary64_18850` `*-un-lft-identity_binary64_18833`
10×	`pow1/2_binary64_18913` `sqrt-pow1_binary64_18851`
9×	`flip3-+_binary64_18836` `flip-+_binary64_18807`
8×	`swap-sqr_binary64_18800` `associate-+r+_binary64_18765`
6×	`add-exp-log_binary64_18871` `add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869` `associate-l_binary64_18774` `associate-r_binary64_18773` `cancel-sign-sub-inv_binary64_18799`
5×	`pow-prod-up_binary64_18903`
4×	`rem-sqrt-square_binary64_18846` `frac-times_binary64_18843` `unswap-sqr_binary64_18801` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782`
3×	`pow-prod-down_binary64_18904` `pow-sqr_binary64_18806`
2×	`associate-l/_binary64_18776` `associate-r/_binary64_18775` `sub-neg_binary64_18826`
1×	`pow2_binary64_18914` `pow-plus_binary64_18896` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `sqrt-unprod_binary64_18853` `sqr-abs_binary64_18848` `rem-square-sqrt_binary64_18845` `*-commutative_binary64_18764` `sum-log_binary64_18924` `+-commutative_binary64_18763`

Counts

4 → 107

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
3.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
3.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

Compiler

Compiled 3027 to 372 computations (87.7% saved)

series503.0ms (14.5%)

Error

Counts

4 → 60

Calls

4 calls:

136.0ms	(.f64 (sqrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
131.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
108.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
99.0ms	(sqrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

Compiler

Compiled 2882 to 1617 computations (43.9% saved)

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5041	2389

prune99.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	167	3	170

Error

Counts

170 → 3

Compiler

Compiled 3047 to 422 computations (86.2% saved)

regimes96.0ms (2.8%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Compiler

Compiled 624 to 494 computations (20.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample724.0ms (20.9%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
18.0ms	695×	body	128	invalid

Compiler

Compiled 176 to 141 computations (19.9% saved)

Details

analyze425.0ms (12.3%)

sample19.0ms (0.5%)

simplify20.0ms (0.6%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite46.0ms (1.3%)

series198.0ms (5.7%)

simplify65.0ms (1.9%)

prune39.0ms (1.1%)

localize5.0ms (0.1%)

rewrite44.0ms (1.3%)

series237.0ms (6.9%)

simplify79.0ms (2.3%)

prune41.0ms (1.2%)

localize9.0ms (0.3%)

rewrite118.0ms (3.4%)

series319.0ms (9.2%)

simplify83.0ms (2.4%)

prune106.0ms (3.1%)

localize7.0ms (0.2%)

rewrite110.0ms (3.2%)

series503.0ms (14.5%)

simplify60.0ms (1.7%)

prune99.0ms (2.9%)

regimes96.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample724.0ms (20.9%)

Profiling