Details

Time bar (total: 8.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms268×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:
30.0ms
(/ x (- y (* z t)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ x (- y (* z t)))

simplify868.0ms

Counts
32 → 32
Iterations

Useful iterations: 3 (278.0ms)

IterNodesCost
063378
1138369
2414343
31457341
done5001341

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- y (* z t)))
3.3b
(* x (/ 1 (- y (* z t))))

rewrite61.0ms

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:
13.0ms
(/ 1 (- y (* z t)))
45.0ms
(* x (/ 1 (- y (* z t))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ 1 (- y (* z t)))
54.0ms
(* x (/ 1 (- y (* z t))))

simplify662.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
099883
1258786
21109663
done5000663

prune228.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- y (* t z)) x))
3.4b
(/ (- y (* t z)) x)

rewrite57.0ms

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:
33.0ms
(/ 1 (/ (- y (* t z)) x))
19.0ms
(/ (- y (* t z)) x)

series232.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(/ 1 (/ (- y (* t z)) x))
71.0ms
(/ (- y (* t z)) x)

simplify1.2s

Counts
112 → 112
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01611770
14181546
222291476
done50011353

prune215.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t))))
11.4b
(cbrt (- y (* z t)))
11.4b
(cbrt (- y (* t z)))
11.4b
(cbrt (- y (* t z)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
148×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
147×cbrt-prod
24×associate-/l*
22×cbrt-div
16×associate-/r/
13×add-exp-log
11×flip3-- flip--
8×div-inv
6×div-exp associate-/r* add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3
1×rec-exp frac-2neg 1-exp clear-num associate-/l/
Counts
4 → 232
Calls
4 calls:
59.0ms
(/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t))))
6.0ms
(cbrt (- y (* z t)))
6.0ms
(cbrt (- y (* t z)))
6.0ms
(cbrt (- y (* t z)))

series754.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t))))
147.0ms
(cbrt (- y (* z t)))
173.0ms
(cbrt (- y (* t z)))
195.0ms
(cbrt (- y (* t z)))

simplify1.5s

Counts
244 → 244
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04116873
19836317
229846101
done50005929

prune903.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes324.0ms

Accuracy

74.2% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.9b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01941
12631
done2631

end0.0ms

sample843.0ms

Algorithm
intervals
Results
335.0ms8373×body80valid