Details

analyze67.0ms (5.1%)

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample12.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune5.0ms (0.4%)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
5.0ms	(+.f64 (*.f64 x y) x)

series14.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (*.f64 x y) x)
5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify34.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5115	268

prune39.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Merged error: 0b

Counts

32 → 5

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))

rewrite22.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series72.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify73.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5440	1288

prune108.0ms (8.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
2.9b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.1b	(.f64 x (.f64 y y))
25.3b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite34.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
9.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))
4.0ms	(-.f64 (*.f64 x y) x)

series58.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
18.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
8.0ms	(.f64 x (.f64 y y))
6.0ms	(-.f64 (*.f64 x y) x)

simplify45.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5937	868

prune86.0ms (6.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)
0.0b	(+.f64 x (*.f64 x y))
0.1b	(pow.f64 (+.f64 x (*.f64 x y)) 3)
36.3b	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))

rewrite24.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))
4.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)
3.0ms	(+.f64 x (*.f64 x y))

series26.0ms (2%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))
6.0ms	(+.f64 x (*.f64 x y))
5.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)

simplify52.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5017	768

prune80.0ms (6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes124.0ms (9.4%)

Accuracy

Total 0.0b remaining (47.5%)

Threshold costs 0.0b (47.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample298.0ms (22.5%)

Algorithm

1×

intervals

Results

173.0ms	7997×	body	80	valid
2.0ms	78×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze67.0ms (5.1%)

sample12.0ms (0.9%)

simplify6.0ms (0.5%)

prune5.0ms (0.4%)

localize5.0ms (0.3%)

rewrite12.0ms (0.9%)

series14.0ms (1.1%)

simplify34.0ms (2.6%)

prune39.0ms (2.9%)

localize9.0ms (0.7%)

rewrite22.0ms (1.7%)

series72.0ms (5.4%)

simplify73.0ms (5.5%)

prune108.0ms (8.2%)

localize11.0ms (0.8%)

rewrite34.0ms (2.6%)

series58.0ms (4.4%)

simplify45.0ms (3.4%)

prune86.0ms (6.5%)

localize8.0ms (0.6%)

rewrite24.0ms (1.8%)

series26.0ms (2%)

simplify52.0ms (3.9%)

prune80.0ms (6%)

regimes124.0ms (9.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample298.0ms (22.5%)

Profiling