Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
7.0ms320×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize5.0ms

Local error

Found 1 expressions with local error:

11.6b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

10.3b
(* (/ a1 b1) (/ a2 b2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (/ a1 b1) (/ a2 b2))

simplify38.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0321286
11417251
25001250

prune116.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
2.8b
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
6.9b
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
17×prod-exp cbrt-unprod
16×cbrt-prod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
9.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
19.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

series530.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a2)
171.0ms
(cbrt a2)
128.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
57.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

simplify86.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05521006
13203784
25001724

prune311.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt (cbrt a2))
2.8b
(/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1)
6.9b
(* (/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1) (/ (cbrt a2) b2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
46×add-cbrt-cube
32×add-sqr-sqrt
28×prod-exp cbrt-unprod
26×times-frac
24×add-cube-cbrt *-un-lft-identity
22×cbrt-prod associate-*r*
17×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 122
Calls
4 calls:
1.0ms
(cbrt a2)
2.0ms
(cbrt (cbrt a2))
11.0ms
(/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1)
23.0ms
(* (/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1) (/ (cbrt a2) b2))

series745.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a2)
241.0ms
(cbrt (cbrt a2))
267.0ms
(/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1)
58.0ms
(* (/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1) (/ (cbrt a2) b2))

simplify107.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06611839
138191490
250011458

prune385.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes383.0ms

Accuracy

30.5% (7.4b remaining)

Error of 7.4b against oracle of 0.0b and baseline of 10.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
12917

end0.0ms

sample495.0ms

Algorithm
intervals
Results
243.0ms10030×body80valid