Details

Time bar (total: 15.1s)

sample42.0ms

Algorithm
intervals
Results
17.0ms328×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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))
21.0ms
(* (- 1.0 x) z)

series92.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(fma x y (* (- 1.0 x) z))
41.0ms
(* (- 1.0 x) z)

simplify4.3s

Counts
40 → 40
Iterations

Useful iterations: 3 (905.0ms)

IterNodesCost
064347
1136335
2493295
34949293
done5000293

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite25.0ms

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:
18.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series982.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt z) (cbrt z))
226.0ms
(cbrt z)
277.0ms
(cbrt z)
262.0ms
(cbrt z)

simplify958.0ms

Counts
93 → 93
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
065554
1143443
2719423
done5000409

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
4.1b
(* (- (* 1.0 1.0) (* x x)) z)
4.3b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt
6×pow1 add-log-exp
4×expm1-log1p-u times-frac associate-*l* associate-*l/ associate-/r* log1p-expm1-u
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative flip-+ fma-udef div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
9.0ms
(- (* 1.0 1.0) (* x x))
0.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
33.0ms
(* (- (* 1.0 1.0) (* x x)) z)
25.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series253.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* 1.0 1.0) (* x x))
85.0ms
(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
44.0ms
(* (- (* 1.0 1.0) (* x x)) z)
70.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01291301
13571253
221421063
done50011058

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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 z 1.0 (* x (- y z)))
28.0ms
(* x (- y z))

series106.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma z 1.0 (* x (- y z)))
52.0ms
(* x (- y z))

simplify540.0ms

Counts
62 → 62
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
0117865
1258692
2890559
done5000533

prune123.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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

sample953.0ms

Algorithm
intervals
Results
504.0ms10185×body80valid