Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms316×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 8.3b

localize9.0ms

Local error

Found 1 expressions with local error:

8.0b
(/ (* 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))

series28.0ms

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

prune50.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (* b1 b2))
8.0b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
28×add-cbrt-cube
12×div-exp cbrt-unprod
10×pow1
7×associate-*r*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity times-frac 1-exp
4×pow-prod-down
3×associate-/l*
2×expm1-log1p-u pow-flip log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 72
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
16.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series44.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (* b1 b2))
32.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299353
11500272
25001247

prune102.0ms

Filtered
78 candidates to 32 candidates (41.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 b1) b2)
8.0b
(* (* a1 a2) (/ (/ 1 b1) b2))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
18×div-exp
15×prod-exp
13×associate-/l*
9×cbrt-undiv cbrt-unprod div-inv
7×pow1
3×rec-exp 1-exp pow-prod-down associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 147
Calls
2 calls:
6.0ms
(/ (/ 1 b1) b2)
19.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

series45.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (/ 1 b1) b2)
33.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

simplify76.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0667946
13469809
25001720

prune273.0ms

Filtered
153 candidates to 88 candidates (57.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

8.0b
(* (* a1 a2) (/ 1 (* b1 b2)))
14.5b
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
14.5b
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
14.5b
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
27×prod-exp
25×add-cbrt-cube
11×cbrt-unprod
9×pow1
8×div-exp
7×associate-*r*
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ un-div-inv log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 81
Calls
4 calls:
19.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))
12.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
12.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
12.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))
87.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
81.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))
89.0ms
(cbrt (* (* a1 a2) (/ 1 (* b1 b2))))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0358613
11697500
25001444

prune219.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes474.0ms

Accuracy

54.9% (5.1b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03221
13521
24111
34411
45011
56111
66811
76911
86911

end0.0ms

sample515.0ms

Algorithm
intervals
Results
247.0ms9960×body80valid