Details

Time bar (total: 8.0s)

sample21.0ms

Algorithm
intervals
Results
7.0ms260×body80valid

simplify5.0ms

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: 2.7b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(/ x (- y (* z t)))

rewrite10.0ms

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:
9.0ms
(/ x (- y (* z t)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ x (- y (* z t)))

simplify851.0ms

Counts
32 → 32
Iterations

Useful iterations: 3 (322.0ms)

IterNodesCost
063378
1138369
2414343
31457341
done5001341

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- y (* z t)))
2.5b
(* x (/ 1 (- y (* z t))))

rewrite38.0ms

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:
10.0ms
(/ 1 (- y (* z t)))
26.0ms
(* x (/ 1 (- y (* z t))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1 (- y (* z t)))
44.0ms
(* x (/ 1 (- y (* z t))))

simplify504.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
099883
1258786
21109663
done5000663

prune176.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- y (* t z)) x))
2.7b
(/ (- y (* t z)) x)

rewrite51.0ms

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:
22.0ms
(/ 1 (/ (- y (* t z)) x))
23.0ms
(/ (- y (* t z)) x)

series201.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(/ 1 (/ (- y (* t z)) x))
49.0ms
(/ (- y (* t z)) x)

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01611770
14181546
222291476
done50011353

prune268.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t)))) (/ x (cbrt (- y (* t z)))))
9.2b
(cbrt (- y (* z t)))
9.2b
(cbrt (- y (* t z)))
9.2b
(cbrt (- y (* t z)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac
277×add-sqr-sqrt
182×cbrt-prod
159×*-un-lft-identity
150×associate-*l*
147×add-cube-cbrt
39×add-exp-log
33×unswap-sqr
24×associate-*r*
22×cbrt-div
17×div-exp
16×associate-/r/ add-cbrt-cube
11×flip3-- flip--
10×prod-exp
9×cbrt-undiv
8×div-inv
6×pow1 cbrt-unprod
4×add-log-exp
3×pow1/3
2×rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 274
Calls
4 calls:
196.0ms
(* (/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t)))) (/ x (cbrt (- y (* t z)))))
5.0ms
(cbrt (- y (* z t)))
5.0ms
(cbrt (- y (* t z)))
5.0ms
(cbrt (- y (* t z)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (/ (/ 1 (cbrt (- y (* t z)))) (cbrt (- y (* z t)))) (/ x (cbrt (- y (* t z)))))
125.0ms
(cbrt (- y (* z t)))
159.0ms
(cbrt (- y (* t z)))
162.0ms
(cbrt (- y (* t z)))

simplify512.0ms

Counts
286 → 286
Iterations

Useful iterations: done (497.0ms)

IterNodesCost
04027968
112877757
done50007165

prune1.4s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

44.1% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 2.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01626
12026
done2026

end0.0ms

sample885.0ms

Algorithm
intervals
Results
384.0ms8349×body80valid