Details

Time bar (total: 14.7s)

sample28.0ms

Algorithm
intervals
Results
11.0ms352×body80valid

simplify7.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:
0.0ms
(fma (/ y z) y x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (/ y z) y x)

simplify2.7s

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

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
11.0ms
(* (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))

series515.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
133.0ms
(cbrt (fma (/ y z) y x))
136.0ms
(cbrt (fma (/ y z) y x))
113.0ms
(cbrt (fma (/ y z) y x))

simplify4.3s

Counts
93 → 93
Iterations
IterNodes
done5000
33781
2578
1174
085

prune631.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×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 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
7.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))

series607.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (fma (/ y z) y x))
163.0ms
(cbrt (fma (/ y z) y x))
145.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
161.0ms
(cbrt (cbrt (fma (/ y z) y x)))

simplify2.2s

Counts
65 → 65
Iterations
IterNodes
done5000
44399
3988
2317
1143
082

prune516.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
10.8b
(/ (* y y) z)

rewrite30.0ms

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:
14.0ms
(+ x (/ (* y y) z))
14.0ms
(/ (* y y) z)

series57.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (/ (* y y) z))
25.0ms
(/ (* y y) z)

simplify1.3s

Counts
46 → 46
Iterations
IterNodes
done5001
21473
1217
071

prune189.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes323.0ms

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
done5
05

end0.0ms

sample1.0s

Algorithm
intervals
Results
463.0ms10686×body80valid