Details

Time bar (total: 14.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done14
414
313
211
19
06

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y z) y x)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (/ y z) y x)

simplify3.0s

Counts
13 → 13
Iterations
IterNodes
done5000
43265
3328
278
128
019

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
19.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series645.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
174.0ms
(cbrt (fma (/ y z) y x))
130.0ms
(cbrt (fma (/ y z) y x))
160.0ms
(cbrt (fma (/ y z) y x))

simplify4.3s

Counts
93 → 93
Iterations
IterNodes
done5000
33781
2578
1174
085

prune567.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series595.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (fma (/ y z) y x))
174.0ms
(cbrt (fma (/ y z) y x))
167.0ms
(cbrt (fma (/ y z) y x))
124.0ms
(cbrt (fma (/ y z) y x))

simplify1.5s

Counts
64 → 64
Iterations
IterNodes
done5001
42119
3477
2157
175
042

prune757.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
7.9b
(/ (* y y) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity add-cbrt-cube add-exp-log
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×associate-/r* fma-def times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
16.0ms
(+ x (/ (* y y) z))
23.0ms
(/ (* y y) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (/ (* y y) z))
37.0ms
(/ (* y y) z)

simplify959.0ms

Counts
46 → 46
Iterations
IterNodes
done5001
21473
1217
071

prune157.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample1.6s

Algorithm
intervals
Results
510.0ms10606×body80valid