Details

Time bar (total: 15.8s)

sample38.0ms

Algorithm
intervals
Results
14.0ms274×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
54079
613729
done50009

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.9b
(/ x (* (- y z) (- t z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
55.0ms
(* (- y z) (- t z))
29.0ms
(/ x (* (- y z) (- t z)))

series248.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- y z) (- t z))
199.0ms
(/ x (* (- y z) (- t z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124860
1312844
21647762
done5000756

prune483.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
22.0ms
(* (cbrt x) (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
377.0ms
(cbrt x)
355.0ms
(cbrt x)
385.0ms
(cbrt x)
430.0ms
(* (cbrt x) (cbrt x))

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
061524
1139417
2717397
done5001383

prune643.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1/3
15×pow1
13×add-exp-log
12×cbrt-prod
10×add-cube-cbrt
9×add-sqr-sqrt *-un-lft-identity pow-prod-down
8×pow-prod-up
6×associate-*r* prod-exp add-cbrt-cube cbrt-unprod
4×add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
202.0ms
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x))

series1.6s

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt x)
380.0ms
(cbrt x)
377.0ms
(cbrt x)
422.0ms
(* (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt x))

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: done (1.1s)

IterNodesCost
072691
1191625
2969418
done5001294

prune511.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- t z))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
17.0ms
(/ x (- y z))
55.0ms
(/ (/ x (- y z)) (- t z))

series249.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ x (- y z))
197.0ms
(/ (/ x (- y z)) (- t z))

simplify1.4s

Counts
191 → 191
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02643352
16523172
225043104
done50003100

prune962.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes692.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01425
11725
done1725

end0.0ms

sample1.1s

Algorithm
intervals
Results
469.0ms8456×body80valid