Details

sample69.0ms

Algorithm

intervals

Results

21.0ms

457×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series285.0ms

Counts

2 → 6

Calls

2 calls:

225.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
60.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify131.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	208	281
1	836	266
2	4400	260
3	5002	260

prune85.0ms

Filtered

33 candidates to 25 candidates (24.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite41.0ms

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:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series411.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
91.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
92.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
93.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify110.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	282	1777
1	1019	1653
2	4836	1516
3	5001	1506

prune382.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
3.4b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.2b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
19.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series848.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
40.0ms	(* (* a b) (* a b))
554.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
192.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify110.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune651.0ms

Filtered

132 candidates to 81 candidates (38.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
37.4b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

10.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
6.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series4.6s

Counts

4 → 12

Calls

4 calls:

243.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
56.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.2s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
59.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	351	819
1	1813	738
2	5002	732

prune225.0ms

Filtered

84 candidates to 52 candidates (38.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

regimes1.5s

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	22	7
1	22	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

633.0ms

13561×

body

valid

Details

sample69.0ms

simplify8.0ms

prune7.0ms

localize11.0ms

rewrite14.0ms

series285.0ms

simplify131.0ms

prune85.0ms

localize15.0ms

rewrite41.0ms

series411.0ms

simplify110.0ms

prune382.0ms

localize15.0ms

rewrite47.0ms

series848.0ms

simplify110.0ms

prune651.0ms

localize14.0ms

rewrite32.0ms

series4.6s

simplify58.0ms

prune225.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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