Details

Time bar (total: 14.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms267×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
54079
613729
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.9b
(/ x (* (- y z) (- t z)))

rewrite59.0ms

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:
40.0ms
(* (- y z) (- t z))
17.0ms
(/ x (* (- y z) (- t z)))

series235.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
196.0ms
(/ x (* (- y z) (- t z)))

simplify854.0ms

Counts
69 → 69
Iterations

Useful iterations: done (852.0ms)

IterNodesCost
0124860
1312844
21647762
done5000756

prune239.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
115.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series988.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt x)
296.0ms
(cbrt x)
264.0ms
(cbrt x)
183.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.6s

Counts
122 → 122
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01801821
15761753
239431395
done50011263

prune411.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
25×prod-exp cbrt-unprod
19×add-sqr-sqrt
17×cbrt-undiv div-exp
15×*-un-lft-identity
11×add-cube-cbrt times-frac associate-*r* associate-*l*
9×cbrt-prod
6×pow1
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 93
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
243.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt x)
301.0ms
(cbrt x)
224.0ms
(cbrt x)
248.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (- t z)))

simplify1.7s

Counts
105 → 105
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01652292
15522230
231521320
done5001888

prune367.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite81.0ms

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:
21.0ms
(/ x (- y z))
31.0ms
(/ (/ x (- y z)) (- t z))

series209.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (- y z))
160.0ms
(/ (/ x (- y z)) (- t z))

simplify1.3s

Counts
191 → 191
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02643352
16523172
225043104
done50003100

prune562.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes268.0ms

Accuracy

53.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01647
12039
done2039

end0.0ms

sample904.0ms

Algorithm
intervals
Results
372.0ms8433×body80valid