Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

350×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (22.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- t z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (/ y a) (- t z) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune39.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- t z)) x)
5.4b	(* (/ y a) (- t z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

19.0ms	(+ (* (/ y a) (- t z)) x)
33.0ms	(* (/ y a) (- t z))

series104.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* (/ y a) (- t z)) x)
56.0ms	(* (/ y a) (- t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	476	779
1	1775	547
2	5001	533

prune238.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
10.5b	(cbrt (/ y a))
10.5b	(cbrt (/ y a))
10.5b	(cbrt (/ y a))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

80.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))

series248.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
65.0ms	(cbrt (/ y a))
63.0ms	(cbrt (/ y a))
61.0ms	(cbrt (/ y a))

simplify62.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	776	2311
1	2230	1663
2	5002	1430

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t z))
0.6b	(* (cbrt (- t z)) (cbrt (- t z)))
1.3b	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
4.5b	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
102×	`frac-times`
73×	`flip3--` `flip--`
52×	`associate-*r/`
45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`associate-*l/`
38×	`cbrt-prod`
36×	`add-exp-log`
25×	`pow1`
22×	`add-cube-cbrt` `associate-l`
21×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
11×	`pow-prod-down`
10×	`times-frac` `swap-sqr`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 213

Calls

4 calls:

4.0ms	(cbrt (- t z))
38.0ms	(* (cbrt (- t z)) (cbrt (- t z)))
198.0ms	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
63.0ms	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- t z))
123.0ms	(* (cbrt (- t z)) (cbrt (- t z)))
58.0ms	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
103.0ms	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

simplify106.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	908	2679
1	3632	2439
2	5001	2338

prune551.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

54.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.3b

bsearch90.0ms

Steps

Iters	Range		Point
11	1.5496417575736523e+22	1.544957661845675e+42	3.2027701517384e+22
10	-7.123298448784942e+23	-210229570708.90164	-757188198512776.9

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	14
1	31	14

end0.0ms

sample698.0ms

Algorithm

intervals

Results

273.0ms

10605×

body

valid