Details

Time bar (total: 16.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1119
2208
3368
4618
5908
61138
71508
83548
912378
done50008

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
7.8b
(/ (fma (- z x) y x) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (- z x) y x)
6.0ms
(/ (fma (- z x) y x) z)

series138.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(fma (- z x) y x)
67.0ms
(/ (fma (- z x) y x) z)

simplify973.0ms

Counts
45 → 45
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
066554
1118542
2280492
31309492
done5000492

prune121.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
8×add-exp-log add-cbrt-cube
6×div-inv
4×fma-neg
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
18.0ms
(+ (/ x z) y)
139.0ms
(- (+ (/ x z) y) (/ (* x y) z))
11.0ms
(/ (* x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (/ x z) y)
42.0ms
(- (+ (/ x z) y) (/ (* x y) z))
26.0ms
(/ (* x y) z)

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01542085
14181756
220921440
done50021353

prune339.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* (/ x z) y))
2.6b
(* (/ x z) y)

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
25×add-sqr-sqrt
20×add-cube-cbrt
19×times-frac
13×fma-def associate-*l*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
4×fma-neg prod-diff
3×expm1-log1p-u associate-*r* associate-*l/ log1p-expm1-u distribute-lft-out
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ div-inv unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 87
Calls
3 calls:
24.0ms
(+ (/ x z) y)
192.0ms
(- (+ (/ x z) y) (* (/ x z) y))
30.0ms
(* (/ x z) y)

series116.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (/ x z) y)
42.0ms
(- (+ (/ x z) y) (* (/ x z) y))
49.0ms
(* (/ x z) y)

simplify2.3s

Counts
96 → 96
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0128942
1324885
21875826
done5000814

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
2.0b
(* (* (cbrt y) (cbrt y)) (/ x z))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
19×associate-*r*
18×pow1 add-sqr-sqrt
17×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
10×times-frac
9×cbrt-prod pow-prod-down
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×pow1/3 associate-*r/ associate-*l* *-commutative unswap-sqr
1×associate-*l/ div-inv
Counts
4 → 94
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
140.0ms
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
61.0ms
(* (* (cbrt y) (cbrt y)) (/ x z))

series987.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(cbrt y)
344.0ms
(cbrt y)
74.0ms
(* (* (* (cbrt y) (cbrt y)) (/ x z)) (cbrt y))
234.0ms
(* (* (cbrt y) (cbrt y)) (/ x z))

simplify3.2s

Counts
106 → 106
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01351151
14041104
22987818
done5001689

prune433.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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
0711
1911
done911

end0.0ms

sample1.7s

Algorithm
intervals
Results
606.0ms10043×body80valid