Details

Time bar (total: 5.0s)

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize5.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ (* 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))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune48.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

10.2b
(* (/ a1 b1) (/ a2 b2))

rewrite18.0ms

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:
16.0ms
(* (/ a1 b1) (/ a2 b2))

series27.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0321286
11417251
25001250

prune122.0ms

Filtered
55 candidates to 42 candidates (76.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.7b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
6.7b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 156
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
7.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
33.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt b2)
182.0ms
(cbrt b2)
106.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
67.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify86.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07431409
138131151
250011087

prune409.0ms

Filtered
168 candidates to 129 candidates (76.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
1.7b
(/ (/ (cbrt a1) b1) (cbrt b2))
2.1b
(* (/ (/ (* (cbrt a1) (cbrt a1)) 1) (cbrt b2)) (* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2))))
4.7b
(* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
620×times-frac
391×add-sqr-sqrt
307×cbrt-prod
305×add-cube-cbrt *-un-lft-identity
267×add-exp-log
182×associate-*l*
129×div-exp
105×add-cbrt-cube
98×prod-exp
83×cbrt-undiv
65×cbrt-unprod
23×associate-*r* div-inv
22×associate-/l*
21×unswap-sqr
14×1-exp
11×pow1
6×frac-times associate-*r/ associate-/r*
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×*-commutative
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 531
Calls
4 calls:
0.0ms
(cbrt b2)
11.0ms
(/ (/ (cbrt a1) b1) (cbrt b2))
72.0ms
(* (/ (/ (* (cbrt a1) (cbrt a1)) 1) (cbrt b2)) (* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2))))
83.0ms
(* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt b2)
69.0ms
(/ (/ (cbrt a1) b1) (cbrt b2))
28.0ms
(* (/ (/ (* (cbrt a1) (cbrt a1)) 1) (cbrt b2)) (* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2))))
237.0ms
(* (/ (/ (cbrt a1) b1) (cbrt b2)) (/ a2 (cbrt b2)))

simplify93.0ms

Algorithm
egg-herbie
Counts
543 → 543
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
021016531
150015994

prune1.9s

Filtered
543 candidates to 457 candidates (84.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes367.0ms

Accuracy

59.3% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 6.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04656
14956
25256
35256

end0.0ms

sample472.0ms

Algorithm
intervals
Results
232.0ms9991×body80valid