Details

Time bar (total: 16.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
55179
616989
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
90.0ms
(* (- y z) (- t z))
31.0ms
(/ x (* (- y z) (- t z)))

series288.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (- y z) (- t z))
221.0ms
(/ x (* (- y z) (- t z)))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01761460
14371281
225201105
done50011077

prune381.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.6b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
13.0ms
(/ x (- t z))
14.0ms
(/ 1 (- y z))
79.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series444.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (- t z))
61.0ms
(/ 1 (- y z))
330.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.4s

Counts
165 → 165
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02041932
15731785
229501527
done50011523

prune736.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.6b
(/ (/ x (- t z)) (- y z))

rewrite88.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
21.0ms
(/ x (- t z))
41.0ms
(/ (/ x (- t z)) (- y z))

series281.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ x (- t z))
222.0ms
(/ (/ x (- t z)) (- y z))

simplify1.7s

Counts
195 → 195
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02683384
16603198
225573128
done50003122

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
14.6b
(cbrt (/ x (- t z)))
14.6b
(cbrt (/ x (- t z)))
14.6b
(cbrt (/ x (- t z)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
55×add-sqr-sqrt *-un-lft-identity
50×times-frac
33×add-cube-cbrt
15×cbrt-div
13×add-exp-log
11×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
8×associate-/r/
7×associate-/l/
5×frac-times associate-*l/ associate-/r*
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow1/3 associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 134
Calls
4 calls:
164.0ms
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
13.0ms
(cbrt (/ x (- t z)))
12.0ms
(cbrt (/ x (- t z)))
9.0ms
(cbrt (/ x (- t z)))

series911.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(/ (* (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z)))) (cbrt (/ x (- t z)))) (- y z))
247.0ms
(cbrt (/ x (- t z)))
216.0ms
(cbrt (/ x (- t z)))
227.0ms
(cbrt (/ x (- t z)))

simplify850.0ms

Counts
146 → 146
Iterations

Useful iterations: done (842.0ms)

IterNodesCost
01862396
13882310
214111857
done50011747

prune854.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes533.0ms

Accuracy

74% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01849
12439
done2439

end0.0ms

sample1.3s

Algorithm
intervals
Results
773.0ms8424×body80valid