Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms320×body80valid

simplify8.0ms

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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
6.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

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

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
10.0ms
(* (/ a1 b1) (/ a2 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (/ a1 b1) (/ a2 b2))

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0319278
11415243
25001242

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite31.0ms

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×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 → 105
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
9.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
16.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

series551.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a2)
183.0ms
(cbrt a2)
125.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
60.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

simplify80.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0546968
13195746
25001686

prune293.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))

rewrite38.0ms

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×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 → 114
Calls
4 calls:
1.0ms
(cbrt a2)
2.0ms
(cbrt (cbrt a2))
12.0ms
(/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1)
18.0ms
(* (/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1) (/ (cbrt a2) b2))

series629.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt a2)
248.0ms
(cbrt (cbrt a2))
130.0ms
(/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1)
62.0ms
(* (/ (* a1 (* (cbrt a2) (* (cbrt (* (cbrt a2) (cbrt a2))) (cbrt (cbrt a2))))) b1) (/ (cbrt a2) b2))

simplify99.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06531775
138111426
250021394

prune373.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes396.0ms

Accuracy

30.5% (7.4b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
12917

end0.0ms

sample488.0ms

Algorithm
intervals
Results
240.0ms10030×body80valid