Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

412×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (+ (* x y) (* z t)) (* a b))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(+ (+ (* x y) (* z t)) (* a b))

simplify58.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	119	123
1	433	112
2	1900	110
3	5002	110

prune37.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
122.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
118.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify112.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1184

prune287.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
3.1b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
26.0b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`associate--l+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 55

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
10.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
128.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
470.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
189.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	365	939
1	1296	851
2	5002	828

prune300.0ms

Filtered

67 candidates to 61 candidates (91.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
3.1b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
26.0b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`associate--l+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+`

Counts

4 → 55

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
10.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
125.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
501.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
182.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify49.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	365	939
1	1296	851
2	5002	828

prune276.0ms

Filtered

67 candidates to 61 candidates (91.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0b

Counts

72 → 5

regimes355.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample839.0ms

Algorithm

intervals

Results

432.0ms

12017×

body

valid

Details

sample32.0ms

simplify6.0ms

prune2.0ms

localize8.0ms

rewrite6.0ms

series56.0ms

simplify58.0ms

prune37.0ms

localize15.0ms

rewrite31.0ms

series549.0ms

simplify112.0ms

prune287.0ms

localize24.0ms

rewrite30.0ms

series909.0ms

simplify49.0ms

prune300.0ms

localize19.0ms

rewrite31.0ms

series934.0ms

simplify49.0ms

prune276.0ms

regimes355.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample839.0ms

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