Details

Time bar (total: 24.7s)

sample32.0ms

Algorithm
intervals
Results
18.0ms411×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01115
12314
25914
310914
420214
536314
682414
7187413
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x z) y)
0.1b
(fma (/ (+ x z) y) (- x z) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log add-cbrt-cube distribute-lft-out associate-/l*
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
28.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series141.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ x z) y)
105.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify3.2s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
082534
1165520
2420480
31029480
42996477
done5001477

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.3b
(* (+ x z) (/ 1 y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 associate-*l* prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
0.0ms
(fma (* (+ x z) (/ 1 y)) (- x z) y)
44.0ms
(* (+ x z) (/ 1 y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma (* (+ x z) (/ 1 y)) (- x z) y)
30.0ms
(* (+ x z) (/ 1 y))

simplify2.6s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0114685
1271555
2797476
32547470
done5000470

prune233.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
3.5b
(cbrt (/ (+ x z) y))
3.5b
(cbrt (/ (+ x z) y))
3.5b
(cbrt (/ (+ x z) y))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×distribute-lft-out
25×swap-sqr
19×associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 176
Calls
4 calls:
66.0ms
(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
12.0ms
(cbrt (/ (+ x z) y))
6.0ms
(cbrt (/ (+ x z) y))
6.0ms
(cbrt (/ (+ x z) y))

series729.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (/ (+ x z) y)) (cbrt (/ (+ x z) y)))
177.0ms
(cbrt (/ (+ x z) y))
182.0ms
(cbrt (/ (+ x z) y))
156.0ms
(cbrt (/ (+ x z) y))

simplify2.2s

Counts
188 → 188
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01993112
13682921
29692820
321702649
done50002599

prune945.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
399.0ms
(* (cbrt y) (cbrt y))
321.0ms
(cbrt y)
352.0ms
(cbrt y)
329.0ms
(cbrt y)

simplify6.2s

Counts
93 → 93
Iterations

Useful iterations: done (6.2s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune525.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11012
done1012

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s13640×body80valid