Details

Time bar (total: 5.2s)

sample58.0ms

Algorithm
intervals
Results
14.0ms304×body80nan
13.0ms279×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize10.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
6.3b
(/ A (* V l))
14.6b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series108.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
37.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune204.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.8b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.6b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt A)
43.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series361.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt A)
76.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
48.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
52.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05181059
12563904
25001844

prune365.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 5.9b

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.6b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.6b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.6b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
15×pow1
11×cbrt-prod
9×sqrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×sqrt-pow1 unswap-sqr
4×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×pow1/2 sqrt-prod
2×div-inv
1×*-commutative
Counts
4 → 109
Calls
4 calls:
22.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
12.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
12.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
58.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
55.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify55.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04211020
12054918
25001845

prune488.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 5.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c0)
1.6b
(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.6b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
23×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
18×cbrt-prod
13×associate-*l*
11×pow1
9×prod-exp cbrt-unprod
8×unswap-sqr
7×cbrt-undiv div-exp
6×sqrt-div associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt c0)
45.0ms
(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt c0)
222.0ms
(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
43.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
58.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05171140
124581038
25001967

prune411.0ms

Pruning

20 alts after pruning (17 fresh and 3 done)

Merged error: 5.9b

regimes1.0s

Accuracy

42.4% (7.9b remaining)

Error of 12.7b against oracle of 4.8b and baseline of 18.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04229
14229

end0.0ms

sample946.0ms

Algorithm
intervals
Results
254.0ms8936×body80valid
236.0ms8868×body80nan