Details

Time bar (total: 5.6s)

sample52.0ms

Algorithm
intervals
Results
18.0ms274×body80valid
16.0ms315×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize6.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
6.0b
(/ A (* V l))
17.2b
(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)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune199.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.6b

localize6.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ (/ A V) l)))
4.6b
(/ (/ A V) l)
17.2b
(sqrt (/ (/ A V) l))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
27.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ (/ A V) l)))
23.0ms
(/ (/ A V) l)
30.0ms
(sqrt (/ (/ A V) l))

simplify53.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05841424
120141350
250011314

prune600.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt A)
0.0ms
(cbrt A)
0.0ms
(cbrt l)
1.0ms
(cbrt l)

series683.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt A)
171.0ms
(cbrt A)
171.0ms
(cbrt l)
170.0ms
(cbrt l)

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune313.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt l)
0.0ms
(cbrt l)
0.0ms
(cbrt l)
1.0ms
(cbrt l)

series689.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt l)
173.0ms
(cbrt l)
172.0ms
(cbrt l)
170.0ms
(cbrt l)

simplify126.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune290.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 0.0b

regimes762.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021
12021

end0.0ms

sample1.4s

Algorithm
intervals
Results
515.0ms8889×body80valid
467.0ms8887×body80nan