Details

analyze651.0ms

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune4.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series28.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (* (- y z) (- t x)))
13.0ms	(* (- y z) (- t x))

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5066	573

prune78.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0b

Counts

52 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) (neg x))
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))
0.0b	(* (- y z) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `neg-mul-1` `associate-+r+`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
10.0ms	(* (- y z) (neg x))
8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) t)

series41.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms	(* (- y z) (neg x))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms	(* (- y z) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5213	889

prune104.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series112.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
26.0ms	(cbrt (- y z))
26.0ms	(cbrt (- y z))
29.0ms	(cbrt (- y z))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	1021
1	4967	1021

prune119.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
1.8b	(- (* t t) (* x x))
5.6b	(* (- y z) (- (* t t) (* x x)))
19.4b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/r*`
3×	`sub-neg` `distribute-lft-out` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

7.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
4.0ms	(- (* t t) (* x x))
9.0ms	(* (- y z) (- (* t t) (* x x)))
12.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series103.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
6.0ms	(- (* t t) (* x x))
23.0ms	(* (- y z) (- (* t t) (* x x)))
37.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4989	1341
1	4989	1341

prune103.0ms

Filtered

77 candidates to 100 candidates (-29.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	2	4
Picked	1	0	1
Done	1	2	3
Total	103	5	108

Merged error: 0b

Counts

108 → 5

regimes299.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample531.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
68.0ms	2420×	body	80	invalid

Details

analyze651.0ms

sample20.0ms

simplify80.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series28.0ms

simplify34.0ms

prune78.0ms

localize8.0ms

rewrite34.0ms

series41.0ms

simplify41.0ms

prune104.0ms

localize10.0ms

rewrite23.0ms

series112.0ms

simplify59.0ms

prune119.0ms

localize10.0ms

rewrite35.0ms

series103.0ms

simplify48.0ms

prune103.0ms

regimes299.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample531.0ms

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