Details

Time bar (total: 11.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.9b
(/ (* x (- y z)) (- t z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
32.0ms
(* x (- y z))
33.0ms
(/ (* x (- y z)) (- t z))

series150.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (- y z))
109.0ms
(/ (* x (- y z)) (- t z))

simplify2.4s

Counts
61 → 61
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.2b
(* x (/ (- y z) (- t z)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
29.0ms
(/ (- y z) (- t z))
63.0ms
(* x (/ (- y z) (- t z)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- y z) (- t z))
104.0ms
(* x (/ (- y z) (- t z)))

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01381319
13451247
29501165
328121165
done50011165

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
32.0ms
(/ (- t z) (- y z))
37.0ms
(/ x (/ (- t z) (- y z)))

series254.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- t z) (- y z))
195.0ms
(/ x (/ (- t z) (- y z)))

simplify1.3s

Counts
200 → 200
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune536.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(* (cbrt (- t z)) (cbrt (- t z)))
2.2b
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

rewrite469.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
38×cbrt-prod
36×prod-exp
35×add-sqr-sqrt
33×*-un-lft-identity
26×add-cbrt-cube
16×pow1 cbrt-div cbrt-unprod
15×add-cube-cbrt div-exp
11×associate-*l*
10×swap-sqr
9×associate-*r*
8×flip3-- pow1/3 flip-- distribute-lft-out--
7×cbrt-undiv
6×associate-*r/ difference-of-squares
5×frac-times pow-prod-down
4×rec-exp 1-exp add-log-exp unswap-sqr
3×associate-*l/
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 125
Calls
4 calls:
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
51.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
401.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

series759.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (- t z))
190.0ms
(cbrt (- t z))
169.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
200.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

simplify1.3s

Counts
137 → 137
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02282386
15152157
218481599
done50011424

prune377.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes160.0ms

Accuracy

36.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01851
12051
done2051

end0.0ms

sample908.0ms

Algorithm
intervals
Results
462.0ms8758×body80valid