Details

Time bar (total: 12.2s)

sample19.0ms

Algorithm
intervals
Results
7.0ms310×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
06123
115123
22998
34998
46498
57198
615398
744898
8156398
done500098

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma y (+ z x) 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 x) x)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma y (+ z x) x)

simplify1.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0192114
1311994
2671919
34101919
done50011919

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
1.0ms
(cbrt (fma y (+ z x) x))
1.0ms
(cbrt (fma y (+ z x) x))
1.0ms
(cbrt (fma y (+ z x) x))
15.0ms
(* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))

series779.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (fma y (+ z x) x))
202.0ms
(cbrt (fma y (+ z x) x))
149.0ms
(cbrt (fma y (+ z x) x))
230.0ms
(* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
09729249
124626536
296326169
done500025399

prune554.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
16×pow1 add-cube-cbrt
15×*-un-lft-identity
12×associate-*l*
11×pow1/3 add-exp-log
7×swap-sqr associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma y (+ z x) x))
35.0ms
(* (cbrt (fma y (+ z x) x)) (* (cbrt (* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))) (cbrt (cbrt (fma y (+ z x) x)))))
9.0ms
(* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))
4.0ms
(cbrt (* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x))))

series936.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (fma y (+ z x) x))
220.0ms
(* (cbrt (fma y (+ z x) x)) (* (cbrt (* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))) (cbrt (cbrt (fma y (+ z x) x)))))
243.0ms
(* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x)))
291.0ms
(cbrt (* (cbrt (fma y (+ z x) x)) (cbrt (fma y (+ z x) x))))

simplify1.5s

Counts
103 → 103
Iterations

Useful iterations: done (1.5s)

IterNodesCost
014339227
136836003
2146535447
done500133727

prune700.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (+ z x) x)
0.1b
(* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x))
0.1b
(* (fma y (+ z x) x) (fma y (+ z x) x))
37.0b
(cbrt (* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma y (+ z x) x)
15.0ms
(* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x))
8.0ms
(* (fma y (+ z x) x) (fma y (+ z x) x))
21.0ms
(cbrt (* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma y (+ z x) x)
116.0ms
(* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x))
63.0ms
(* (fma y (+ z x) x) (fma y (+ z x) x))
36.0ms
(cbrt (* (* (fma y (+ z x) x) (fma y (+ z x) x)) (fma y (+ z x) x)))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
010422705
127418456
2168517814
done500216074

prune408.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0598
1698
done698

end0.0ms

sample696.0ms

Algorithm
intervals
Results
316.0ms10133×body80valid