Details

Time bar (total: 24.7s)

sample39.0ms

Algorithm
intervals
Results
15.0ms328×body80valid

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize9.0ms

Local error

Found 1 expressions with local error:

10.7b
(/ (* a1 a2) (* b1 b2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(/ (* a1 a2) (* b1 b2))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.0s

Counts
26 → 26
Iterations
IterNodes
done5000
2880
1165
057

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (* b1 b2) a2)
5.7b
(/ a1 (/ (* b1 b2) a2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
15.0ms
(/ (* b1 b2) a2)
16.0ms
(/ a1 (/ (* b1 b2) a2))

series73.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* b1 b2) a2)
52.0ms
(/ a1 (/ (* b1 b2) a2))

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
done5002
21240
1333
0129

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ b1 (/ a2 b2))
5.7b
(/ a1 (/ b1 (/ a2 b2)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
57×associate-/r*
22×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 270
Calls
2 calls:
14.0ms
(/ b1 (/ a2 b2))
28.0ms
(/ a1 (/ b1 (/ a2 b2)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ b1 (/ a2 b2))
34.0ms
(/ a1 (/ b1 (/ a2 b2)))

simplify2.4s

Counts
276 → 276
Iterations
IterNodes
done5031
24505
11283
0470

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
1.0b
(/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
1.5b
(* (/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1))) (/ a1 (/ (cbrt b1) (/ (cbrt a2) (cbrt b2)))))

rewrite693.0ms

Algorithm
rewrite-expression-head
Rules
2175×times-frac
1040×cbrt-prod add-sqr-sqrt
946×*-un-lft-identity add-cube-cbrt
740×associate-*r*
323×add-exp-log
156×cbrt-undiv div-exp
149×add-cbrt-cube
109×prod-exp cbrt-unprod
24×div-inv unswap-sqr
6×pow1
5×associate-*l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-/l/
2×frac-times pow1/3 associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative associate-/l*
Counts
4 → 935
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
21.0ms
(/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
554.0ms
(* (/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1))) (/ a1 (/ (cbrt b1) (/ (cbrt a2) (cbrt b2)))))

series918.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt a2)
297.0ms
(cbrt a2)
238.0ms
(/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1)))
91.0ms
(* (/ (* (/ (cbrt a2) (cbrt b2)) (/ (cbrt a2) (cbrt b2))) (* (cbrt b1) (cbrt b1))) (/ a1 (/ (cbrt b1) (/ (cbrt a2) (cbrt b2)))))

simplify3.6s

Counts
947 → 947
Iterations
IterNodes
done5000
02059

prune9.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes698.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
014

end0.0ms

sample906.0ms

Algorithm
intervals
Results
523.0ms10057×body80valid