Details

Time bar (total: 9.8s)

sample19.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize6.0ms

Local error

Found 1 expressions with local error:

10.4b
(/ (* x (- y z)) (- t z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
29.0ms
(/ (* x (- y z)) (- t z))

series73.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (* x (- y z)) (- t z))

simplify1.5s

Counts
34 → 34
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
077402
1209388
2712334
33237334
done5000334

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.2b
(* x (/ (- y z) (- t z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
23.0ms
(/ (- y z) (- t z))
44.0ms
(* x (/ (- y z) (- t z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune223.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.3b
(/ x (/ (- t z) (- y z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
23.0ms
(/ (- t z) (- y z))
23.0ms
(/ x (/ (- t z) (- y z)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- t z) (- y z))
164.0ms
(/ x (/ (- t z) (- y z)))

simplify1.1s

Counts
204 → 204
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune435.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(* (cbrt (- t z)) (cbrt (- t z)))
1.3b
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ (- y z) (cbrt (- t z)))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
270×add-sqr-sqrt
268×*-un-lft-identity
146×add-cube-cbrt
138×cbrt-prod
60×distribute-lft-out--
58×difference-of-squares
51×associate-/r*
24×add-exp-log cbrt-div
16×add-cbrt-cube
13×associate-/r/
12×flip3-- flip--
11×pow1 cbrt-undiv div-exp
10×swap-sqr
9×div-inv
8×pow1/3 associate-*r* associate-*l*
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp unswap-sqr
3×prod-exp cbrt-unprod associate-/l*
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num *-commutative
Counts
4 → 322
Calls
4 calls:
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
40.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
44.0ms
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ (- y z) (cbrt (- t z)))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (- t z))
164.0ms
(cbrt (- t z))
146.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
164.0ms
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (/ (- y z) (cbrt (- t z)))))

simplify2.0s

Counts
334 → 334
Iterations

Useful iterations: done (1.9s)

IterNodesCost
05478366
111807916
244357241
done50016993

prune845.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample523.0ms

Algorithm
intervals
Results
219.0ms8681×body80valid