Details

Time bar (total: 10.1s)

sample55.0ms

Algorithm
intervals
Results
35.0ms326×body80valid

simplify92.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize20.0ms

Local error

Found 1 expressions with local error:

9.8b
(/ (* a1 a2) (* b1 b2))

rewrite24.0ms

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 insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
24.0ms
(/ (* a1 a2) (* b1 b2))

series47.0ms

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

simplify1.1s

Counts
27 → 27
Iterations
IterNodes
done2006
32006
2915
1166
058

prune94.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (* b1 b2) a2)
6.5b
(/ a1 (/ (* b1 b2) a2))

rewrite39.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 75
Calls
2 calls:
22.0ms
(/ (* b1 b2) a2)
15.0ms
(/ a1 (/ (* b1 b2) a2))

series93.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* b1 b2) a2)
59.0ms
(/ a1 (/ (* b1 b2) a2))

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done2026
32026
21273
1335
0131

prune325.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

4.5b
(/ a1 (* b1 b2))
6.2b
(/ (/ a1 (* b1 b2)) (/ 1 a2))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
88×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
28×add-cbrt-cube div-exp
24×div-inv
15×cbrt-undiv
14×associate-/r*
10×associate-/l*
5×prod-exp
3×rec-exp 1-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 168
Calls
2 calls:
11.0ms
(/ a1 (* b1 b2))
19.0ms
(/ (/ a1 (* b1 b2)) (/ 1 a2))

series70.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ a1 (* b1 b2))
39.0ms
(/ (/ a1 (* b1 b2)) (/ 1 a2))

simplify933.0ms

Counts
174 → 174
Iterations
IterNodes
done2002
22002
1900
0299

prune646.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
1.8b
(/ a1 (/ b2 (cbrt a2)))
7.3b
(* (/ 1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ a1 (/ b2 (cbrt a2))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
337×times-frac
230×add-sqr-sqrt
165×*-un-lft-identity
157×add-cube-cbrt
135×add-exp-log
74×cbrt-prod
71×associate-*r*
69×div-exp
52×add-cbrt-cube
39×prod-exp
30×cbrt-undiv
26×associate-*l*
22×associate-/r*
20×unswap-sqr
15×cbrt-unprod
13×div-inv
9×rec-exp 1-exp
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r/ associate-/l*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 311
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
13.0ms
(/ a1 (/ b2 (cbrt a2)))
87.0ms
(* (/ 1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ a1 (/ b2 (cbrt a2))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt a2)
244.0ms
(cbrt a2)
116.0ms
(/ a1 (/ b2 (cbrt a2)))
106.0ms
(* (/ 1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ a1 (/ b2 (cbrt a2))))

simplify1.2s

Counts
323 → 323
Iterations
IterNodes
done2006
22006
11535
0469

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes557.0ms

Accuracy

56% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 11.2b

bsearch2.0ms

simplify14.0ms

Iterations
IterNodes
done42
142
038

end0.0ms

sample1.2s

Algorithm
intervals
Results
866.0ms10003×body80valid