Details

Time bar (total: 8.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify2.0s

Counts
47 → 47
Iterations

Useful iterations: 4 (628.0ms)

IterNodesCost
074506
1159492
2459454
31342454
43947453
done5000453

prune112.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
2.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

series107.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
43.0ms
(/ 1 (- y (* z t)))
36.0ms
(* x (/ 1 (- y (* z t))))

simplify1.7s

Counts
92 → 92
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01101011
1268894
2844770
32262770
done5000769

prune164.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ x (- y (* t z)))
13.7b
(cbrt (/ x (- y (* t z))))
13.7b
(cbrt (/ x (- y (* t z))))
13.7b
(cbrt (/ x (- y (* t z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
4.0ms
(/ x (- y (* t z)))
3.0ms
(cbrt (/ x (- y (* t z))))
3.0ms
(cbrt (/ x (- y (* t z))))
3.0ms
(cbrt (/ x (- y (* t z))))

series334.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ x (- y (* t z)))
97.0ms
(cbrt (/ x (- y (* t z))))
101.0ms
(cbrt (/ x (- y (* t z))))
98.0ms
(cbrt (/ x (- y (* t z))))

simplify696.0ms

Counts
113 → 113
Iterations

Useful iterations: done (692.0ms)

IterNodesCost
01211689
12301638
26191559
317821538
done50001537

prune371.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
2.0b
(/ (cbrt x) (- y (* z t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
28.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
5.0ms
(/ (cbrt x) (- y (* z t)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
180.0ms
(cbrt x)
57.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
112.0ms
(/ (cbrt x) (- y (* z t)))

simplify727.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
01391638
13851581
217831301
done50001301

prune345.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.3b

regimes206.0ms

Accuracy

0% (0.0b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample409.0ms

Algorithm
intervals
Results
198.0ms8382×body80valid