Details

Time bar (total: 13.0s)

sample43.0ms

Algorithm
intervals
Results
14.0ms271×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize29.0ms

Local error

Found 1 expressions with local error:

3.2b
(/ x (- y (* z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
19.0ms
(/ x (- y (* z t)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ x (- y (* z t)))

simplify1.2s

Counts
32 → 32
Iterations

Useful iterations: 3 (436.0ms)

IterNodesCost
063378
1138369
2414343
31457341
done5001341

prune268.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
20.0ms
(/ 1 (- y (* z t)))
57.0ms
(* x (/ 1 (- y (* z t))))

series166.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ 1 (- y (* z t)))
70.0ms
(* x (/ 1 (- y (* z t))))

simplify1.0s

Counts
77 → 77
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
099883
1258786
21109663
done5000663

prune477.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
9.3b
(cbrt (- y (* z t)))
9.3b
(cbrt (- y (* z t)))
9.3b
(cbrt (- y (* z t)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
31.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
6.0ms
(cbrt (- y (* z t)))
6.0ms
(cbrt (- y (* z t)))
6.0ms
(cbrt (- y (* z t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
326.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
232.0ms
(cbrt (- y (* z t)))
236.0ms
(cbrt (- y (* z t)))
645.0ms
(cbrt (- y (* z t)))

simplify2.5s

Counts
80 → 80
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01381326
13291272
29271170
334591135
done50001077

prune666.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.1b

localize20.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (/ (- y (* t z)) x))
3.2b
(/ (- y (* t z)) x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 106
Calls
2 calls:
24.0ms
(/ 1 (/ (- y (* t z)) x))
30.0ms
(/ (- y (* t z)) x)

series258.0ms

Counts
2 → 6
Calls
2 calls:
180.0ms
(/ 1 (/ (- y (* t z)) x))
78.0ms
(/ (- y (* t z)) x)

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01611770
14181546
222291476
done50011353

prune467.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

Accuracy

35.7% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 2.8b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01624
12024
done2024

end0.0ms

sample1.2s

Algorithm
intervals
Results
536.0ms8411×body80valid