Details

analyze890.0ms

Algorithm

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	75×	body	128	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune1.0ms

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: 4.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
5.5b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series188.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(*.f64 y (-.f64 z t))
121.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify64.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5105	566

prune42.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.7b	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
5.1b	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`
10×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-r_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`associate-/l/_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
14.0ms	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
13.0ms	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 a)
166.0ms	(cbrt.f64 a)
192.0ms	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
309.0ms	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5021	1358

prune79.0ms

Filtered

82 candidates to 104 candidates (-26.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	4	2	6
Picked	1	0	1
Done	1	0	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize10.0ms

Local error

Found 1 expressions with local error:

6.8b	(/.f64 (-.f64 z t) (/.f64 a y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
85×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
57×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`div-inv_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

1 → 101

Calls

1 calls:

9.0ms

(/.f64 (-.f64 z t) (/.f64 a y))

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

(/.f64 (-.f64 z t) (/.f64 a y))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4989	2298
1	4989	2298

prune56.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

6.6b	(*.f64 (-.f64 z t) (/.f64 y a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

12.0ms

(*.f64 (-.f64 z t) (/.f64 y a))

series110.0ms

Counts

1 → 3

Calls

1 calls:

110.0ms

(*.f64 (-.f64 z t) (/.f64 y a))

simplify52.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5675	564

prune23.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 4

regimes117.0ms

Accuracy

79.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	66
1	40	66

end0.0ms

sample696.0ms

Algorithm

intervals

Results

274.0ms	8000×	body	128	valid
89.0ms	2551×	body	128	invalid

Details

analyze890.0ms

sample25.0ms

simplify56.0ms

prune1.0ms

localize8.0ms

rewrite18.0ms

series188.0ms

simplify64.0ms

prune42.0ms

localize12.0ms

rewrite38.0ms

series830.0ms

simplify60.0ms

prune79.0ms

localize10.0ms

rewrite21.0ms

series112.0ms

simplify90.0ms

prune56.0ms

localize8.0ms

rewrite16.0ms

series110.0ms

simplify52.0ms

prune23.0ms

regimes117.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample696.0ms

Profiling