Details

Time bar (total: 14.2s)

sample134.0ms

Algorithm
intervals
Results
13.0ms317×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
055
175
2155
3195
done195

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
86.0ms
(* (+ x y) z)

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) z)

simplify4.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
45.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
14.0ms
(cbrt (* (+ x y) z))
14.0ms
(cbrt (* (+ x y) z))
8.0ms
(cbrt (* (+ x y) z))

series707.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
193.0ms
(cbrt (* (+ x y) z))
165.0ms
(cbrt (* (+ x y) z))
154.0ms
(cbrt (* (+ x y) z))

simplify2.2s

Counts
92 → 92
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01431342
13321229
28731131
322221025
done5000967

prune433.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-div associate-*l/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
15.0ms
(cbrt (* (+ x y) z))
14.0ms
(cbrt (* (+ x y) z))
14.0ms
(cbrt (* (+ x y) z))
14.0ms
(cbrt (* (+ x y) z))

series708.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (* (+ x y) z))
199.0ms
(cbrt (* (+ x y) z))
180.0ms
(cbrt (* (+ x y) z))
197.0ms
(cbrt (* (+ x y) z))

simplify2.2s

Counts
64 → 64
Iterations

Useful iterations: done (2.2s)

IterNodesCost
075760
1174736
2408684
3992640
42336588
done5000572

prune358.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (* x x) (* y y))
8.4b
(* (- (* x x) (* y y)) z)
15.8b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 71
Calls
3 calls:
9.0ms
(- (* x x) (* y y))
27.0ms
(* (- (* x x) (* y y)) z)
40.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series180.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x x) (* y y))
52.0ms
(* (- (* x x) (* y y)) z)
75.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.4s

Counts
80 → 80
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01221094
13091052
21304894
done5000878

prune238.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample765.0ms

Algorithm
intervals
Results
318.0ms10115×body80valid