Details

Time bar (total: 14.7s)

sample30.0ms

Algorithm
intervals
Results
13.0ms324×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
9.2b
(/ (fma (- z x) y x) z)

rewrite18.0ms

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)
17.0ms
(/ (fma (- z x) y x) z)

series143.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(fma (- z x) y x)
76.0ms
(/ (fma (- z x) y x) z)

simplify1.0s

Counts
45 → 45
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
066554
1118542
2280492
31309492
done5000492

prune232.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
7.0b
(/ (* x y) z)

rewrite189.0ms

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:
19.0ms
(+ (/ x z) y)
152.0ms
(- (+ (/ x z) y) (/ (* x y) z))
10.0ms
(/ (* x y) z)

series123.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (/ x z) y)
57.0ms
(- (+ (/ x z) y) (/ (* x y) z))
31.0ms
(/ (* x y) z)

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01542085
14181756
220921440
done50021353

prune428.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* (/ x z) y))
3.1b
(* (/ x z) y)

rewrite252.0ms

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:
19.0ms
(+ (/ x z) y)
202.0ms
(- (+ (/ x z) y) (* (/ x z) y))
26.0ms
(* (/ x z) y)

series107.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ x z) y)
42.0ms
(- (+ (/ x z) y) (* (/ x z) y))
27.0ms
(* (/ x z) y)

simplify2.0s

Counts
96 → 96
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0128942
1324885
21875826
done5000814

prune500.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (cbrt (/ x z)))
9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
28.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series512.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (/ x z)) (cbrt (/ x z)))
100.0ms
(cbrt (/ x z))
129.0ms
(cbrt (/ x z))
99.0ms
(cbrt (/ x z))

simplify1.9s

Counts
164 → 164
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01651926
12901797
212301725
done50011696

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0913
11411
21511
done1511

end0.0ms

sample1.2s

Algorithm
intervals
Results
510.0ms10089×body80valid