Details

Time bar (total: 2.1s)

sample21.0ms

Algorithm
intervals
Results
10.0ms316×body80valid

simplify9.0ms

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: 8.3b

localize5.0ms

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

series29.0ms

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

simplify27.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune44.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×pow-flip div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 68
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
15.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series43.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (* b1 b2))
31.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify39.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295337
11496256
25001231

prune88.0ms

Filtered
74 candidates to 28 candidates (37.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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×add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ (/ 1 b1) b2)
18.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

series44.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (/ 1 b1) b2)
27.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

simplify72.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0666930
13469793
25001704

prune248.0ms

Filtered
149 candidates to 84 candidates (56.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv times-frac div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×cbrt-div pow1/3
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 63
Calls
4 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))
2.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
2.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
3.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))
78.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
82.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))
85.0ms
(cbrt (/ (* a1 a2) (* b1 b2)))

simplify34.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0241508
11174431
25002425

prune200.0ms

Filtered
75 candidates to 58 candidates (77.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

80% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03529
13829
24419
34719
45319
56419
67119
77219
87219

end0.0ms

sample494.0ms

Algorithm
intervals
Results
238.0ms9960×body80valid