Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	227×	body	80	valid
3.0ms	18×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (215.0ms)

Iter	Nodes	Cost
0	2838	13
1	2838	13

prune13.0ms

Filtered

1 candidates to 1 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: 6.1b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ y (* y (/ (- t z) (- a t)))))
0.0b	(/ (- t z) (- a t))
2.0b	(* y (/ (- t z) (- a t)))
4.2b	(+ y (* y (/ (- t z) (- a t))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`associate-/r` `associate-/l`
4×	`sum-log` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`associate-+r+` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out`

Counts

4 → 127

Calls

4 calls:

5.0ms	(+ x (+ y (* y (/ (- t z) (- a t)))))
8.0ms	(/ (- t z) (- a t))
14.0ms	(* y (/ (- t z) (- a t)))
3.0ms	(+ y (* y (/ (- t z) (- a t))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (+ y (* y (/ (- t z) (- a t)))))
12.0ms	(/ (- t z) (- a t))
15.0ms	(* y (/ (- t z) (- a t)))
22.0ms	(+ y (* y (/ (- t z) (- a t))))

simplify43.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5126	1617

prune162.0ms

Filtered

96 candidates to 139 candidates (-44.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	132	9	141

Merged error: 2.7b

Counts

141 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y)))
1.6b	(* (/ (- t z) (- a t)) (cbrt y))
15.7b	(+ y (* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`associate-l`
32×	`add-exp-log`
27×	`times-frac`
26×	`add-cube-cbrt`
25×	`pow1`
21×	`cbrt-prod`
18×	`add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-r`
11×	`pow-prod-down`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`unswap-sqr`
6×	`pow1/3` `swap-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3--` `flip3-+` `pow-plus` `associate-*r/` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
16.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y)))
17.0ms	(* (/ (- t z) (- a t)) (cbrt y))
3.0ms	(+ y (* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y)))
44.0ms	(* (/ (- t z) (- a t)) (cbrt y))
28.0ms	(+ y (* (* (cbrt y) (cbrt y)) (* (/ (- t z) (- a t)) (cbrt y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5416	1393

prune143.0ms

Filtered

89 candidates to 146 candidates (-64.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	145	10	155

Merged error: 2.7b

Counts

155 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
4.4b	(+ (/ (- t z) (- a t)) 1)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`add-cbrt-cube` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `associate-+l-` `flip3-+` `pow-plus` `div-sub` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))
15.0ms	(+ (/ (- t z) (- a t)) 1)

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
27.0ms	(* (cbrt y) (cbrt y))
13.0ms	(+ (/ (- t z) (- a t)) 1)

simplify37.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4941	479
1	4941	479

prune114.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	86	11	97

Merged error: 2.7b

Counts

97 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t z))
0.5b	(cbrt (- t z))
2.0b	(* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t))))
16.2b	(+ y (* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
22×	`add-exp-log` `associate-*r/`
16×	`frac-times` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`pow1`
12×	`associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
3×	`associate-l`
2×	`cbrt-undiv` `pow1/3` `div-exp` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (- t z))
3.0ms	(cbrt (- t z))
23.0ms	(* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t))))
6.0ms	(+ y (* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t)))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- t z))
29.0ms	(cbrt (- t z))
16.0ms	(* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t))))
23.0ms	(+ y (* y (* (* (cbrt (- t z)) (cbrt (- t z))) (/ (cbrt (- t z)) (- a t)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5043	1136

prune92.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	95	11	106

Merged error: 2.7b

Counts

106 → 11

regimes601.0ms

Accuracy

29.3% (3.0b remaining)

Error of 6.4b against oracle of 3.4b and baseline of 7.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	53
1	35	53

end0.0ms

sample928.0ms

Algorithm

intervals

Results

283.0ms	7337×	body	80	valid
66.0ms	460×	body	640	valid
48.0ms	257×	body	1280	valid
42.0ms	369×	body	320	valid
20.0ms	272×	body	160	valid
3.0ms	16×	body	2560	valid

Details

sample33.0ms

simplify217.0ms

prune13.0ms

localize13.0ms

rewrite35.0ms

series83.0ms

simplify43.0ms

prune162.0ms

localize13.0ms

rewrite47.0ms

series116.0ms

simplify46.0ms

prune143.0ms

localize14.0ms

rewrite25.0ms

series83.0ms

simplify37.0ms

prune114.0ms

localize13.0ms

rewrite39.0ms

series95.0ms

simplify39.0ms

prune92.0ms

regimes601.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample928.0ms

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