Details

Time bar (total: 16.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms320×body80valid

simplify97.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize14.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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 pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.5s

Counts
25 → 25
Iterations
IterNodes
done5002
2812
1160
056

prune120.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 add-log-exp
Counts
1 → 51
Calls
1 calls:
31.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.7s

Counts
54 → 54
Iterations
IterNodes
done5013
34403
21117
1330
0112

prune246.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a2)
0.6b
(* (cbrt a2) (cbrt a2))
4.8b
(* (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a2) b2))
5.1b
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
94×add-sqr-sqrt
56×*-un-lft-identity add-cube-cbrt
47×add-exp-log
35×add-cbrt-cube
32×associate-*l*
31×cbrt-prod
28×associate-*r*
19×cbrt-undiv div-exp
13×pow1 unswap-sqr
12×prod-exp cbrt-unprod
10×div-inv
7×associate-/r* pow1/3
6×swap-sqr
4×insert-posit16 add-log-exp
3×pow-prod-down associate-/l*
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 frac-times clear-num frac-2neg pow-plus associate-*l/ associate-*r/
Counts
4 → 188
Calls
4 calls:
1.0ms
(cbrt a2)
13.0ms
(* (cbrt a2) (cbrt a2))
100.0ms
(* (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a2) b2))
22.0ms
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))

series822.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt a2)
297.0ms
(* (cbrt a2) (cbrt a2))
83.0ms
(* (/ a1 (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a2) b2))
164.0ms
(/ a1 (/ b1 (* (cbrt a2) (cbrt a2))))

simplify2.0s

Counts
200 → 200
Iterations
IterNodes
done5004
23699
1866
0282

prune977.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a2)
2.2b
(/ (cbrt a1) (/ b1 (cbrt a2)))
2.2b
(* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2))
2.5b
(* (/ (* (cbrt a1) (cbrt a1)) (/ 1 (cbrt a2))) (* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2)))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
600×times-frac
389×add-exp-log
378×add-sqr-sqrt
295×cbrt-prod
292×*-un-lft-identity add-cube-cbrt
177×div-exp
164×associate-*l*
151×prod-exp
132×add-cbrt-cube
99×cbrt-undiv
85×cbrt-unprod
23×associate-*r*
22×associate-/r*
21×unswap-sqr
18×div-inv
14×rec-exp 1-exp
11×pow1
6×frac-times associate-*r/ associate-/l*
4×pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×associate-/r/
2×*-commutative
1×clear-num frac-2neg pow1/3
Counts
4 → 537
Calls
4 calls:
1.0ms
(cbrt a2)
13.0ms
(/ (cbrt a1) (/ b1 (cbrt a2)))
89.0ms
(* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2))
126.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ 1 (cbrt a2))) (* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2)))

series1.0s

Counts
4 → 12
Calls
4 calls:
291.0ms
(cbrt a2)
140.0ms
(/ (cbrt a1) (/ b1 (cbrt a2)))
472.0ms
(* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2))
97.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ 1 (cbrt a2))) (* (/ (cbrt a1) (/ b1 (cbrt a2))) (/ (cbrt a2) b2)))

simplify2.0s

Counts
549 → 549
Iterations
IterNodes
done5001
12267
0690

prune2.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes612.0ms

Accuracy

51.9% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 7.3b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample802.0ms

Algorithm
intervals
Results
422.0ms9920×body80valid