Details

Time bar (total: 21.1s)

sample46.0ms

Algorithm
intervals
Results
27.0ms432×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01115
12314
25914
310914
420214
536314
682414
7187413
done500012

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
20.0ms
(/ (+ x z) y)
0.0ms
(fma (/ (+ x z) y) (- x z) y)

series120.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ x z) y)
84.0ms
(fma (/ (+ x z) y) (- x z) y)

simplify3.1s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
082534
1165520
2420480
31029480
42996477
done5001477

prune230.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x z) y)
0.1b
(fma (* 1 (/ (+ x z) y)) (- x z) y)

rewrite47.0ms

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:
44.0ms
(/ (+ x z) y)
1.0ms
(fma (* 1 (/ (+ x z) y)) (- x z) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ x z) y)
67.0ms
(fma (* 1 (/ (+ x z) y)) (- x z) y)

simplify3.4s

Counts
51 → 51
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
083560
1168520
2459480
31264480
43897477
done5000477

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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 (* 1 (* (+ x z) (/ 1 y))) (- x z) y)
29.0ms
(* (+ x z) (/ 1 y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma (* 1 (* (+ x z) (/ 1 y))) (- x z) y)
22.0ms
(* (+ x z) (/ 1 y))

simplify2.2s

Counts
59 → 59
Iterations

Useful iterations: 3 (998.0ms)

IterNodesCost
0115711
1273555
2797476
32565470
done5002470

prune187.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series983.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt y) (cbrt y))
254.0ms
(cbrt y)
241.0ms
(cbrt y)
229.0ms
(cbrt y)

simplify4.5s

Counts
93 → 93
Iterations

Useful iterations: done (4.5s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune288.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes157.0ms

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: 1 (1.0ms)

IterNodesCost
01114
11512
done1512

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s13729×body80valid