Details

Time bar (total: 7.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms315×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: 11.7b

localize5.0ms

Local error

Found 1 expressions with local error:

11.3b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0162132
193897
2500197

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (* a1 a2) b1)
6.1b
(/ (/ (* a1 a2) b1) b2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* a1 a2) b1)
30.0ms
(/ (/ (* a1 a2) b1) b2)

simplify36.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361

prune161.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b1)
2.0b
(/ (/ a2 (cbrt b1)) (cbrt b2))
2.6b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
4.6b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
136×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/l*
21×unswap-sqr
20×div-inv
11×associate-*l*
7×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 454
Calls
4 calls:
0.0ms
(cbrt b1)
11.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
10.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
93.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series478.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt b1)
103.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
138.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
71.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify87.0ms

Algorithm
egg-herbie
Counts
466 → 466
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
021006561
150026132

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.7b
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
2.6b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
4.8b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

rewrite360.0ms

Algorithm
rewrite-expression-head
Rules
741×times-frac
715×cbrt-prod
432×add-exp-log
422×add-sqr-sqrt
365×associate-*r*
360×add-cube-cbrt *-un-lft-identity
183×cbrt-undiv div-exp
177×prod-exp add-cbrt-cube cbrt-unprod
19×associate-*l* unswap-sqr
16×div-inv
11×pow1
7×associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num associate-/r* associate-/l/
Counts
4 → 607
Calls
4 calls:
1.0ms
(cbrt a2)
252.0ms
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
9.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
37.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a2)
73.0ms
(* (/ (* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2))) (cbrt (* (cbrt b2) (cbrt b2)))) (/ (/ (cbrt a2) (cbrt b1)) (cbrt (cbrt b2))))
137.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
161.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (* (cbrt a2) (cbrt a2)))

simplify169.0ms

Algorithm
egg-herbie
Counts
619 → 619
Iterations

Useful iterations: 1 (65.0ms)

IterNodesCost
0427316194
1500115802

prune3.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes351.0ms

Accuracy

30.5% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04952
14952

end0.0ms

sample473.0ms

Algorithm
intervals
Results
228.0ms10011×body80valid