Details

Time bar (total: 14.7s)

sample42.0ms

Algorithm
intervals
Results
18.0ms321×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1148
2248
3408
4668
5928
61108
71368
81888
94758
1020578
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x y (* (- 1.0 x) z))
44.0ms
(* (- 1.0 x) z)

series74.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(fma x y (* (- 1.0 x) z))
37.0ms
(* (- 1.0 x) z)

simplify4.3s

Counts
40 → 40
Iterations

Useful iterations: 3 (763.0ms)

IterNodesCost
064347
1136335
2493295
34949293
done5000293

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series966.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt z) (cbrt z))
189.0ms
(cbrt z)
273.0ms
(cbrt z)
281.0ms
(cbrt z)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.8b
(* (- (* 1.0 1.0) (* x x)) z)
7.3b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ fma-udef div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
1.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
32.0ms
(* (- (* 1.0 1.0) (* x x)) z)
28.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series202.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
55.0ms
(* (- (* 1.0 1.0) (* x x)) z)
75.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01171093
13371055
22024898
done5000889

prune578.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1.0 z (* x (- y z)))
0.0b
(* x (- y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
0.0ms
(fma 1.0 z (* x (- y z)))
28.0ms
(* x (- y z))

series87.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma 1.0 z (* x (- y z)))
45.0ms
(* x (- y z))

simplify525.0ms

Counts
62 → 62
Iterations

Useful iterations: done (523.0ms)

IterNodesCost
0116865
1256692
2883559
done5000533

prune121.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample884.0ms

Algorithm
intervals
Results
440.0ms10154×body80valid