Details

Time bar (total: 16.9s)

sample42.0ms

Algorithm
intervals
Results
18.0ms322×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1119
2208
3368
4548
5748
6978
71348
82028
92878
104128
116978
1216938
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize13.0ms

Local error

Found 1 expressions with local error:

10.5b
(/ (fma (- z x) y x) z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(/ (fma (- z x) y x) z)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (fma (- z x) y x) z)

simplify1.6s

Counts
32 → 32
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
059438
1103429
2234397
3587397
41700397
done5000397

prune98.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x z) y)
8.1b
(/ (* x y) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×fma-def *-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 50
Calls
2 calls:
17.0ms
(+ (/ x z) y)
10.0ms
(/ (* x y) z)

series49.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (/ x z) y)
22.0ms
(/ (* x y) z)

simplify2.7s

Counts
56 → 56
Iterations

Useful iterations: 3 (771.0ms)

IterNodesCost
074339
1183326
2609288
32631286
done5000286

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
56.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series863.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt z)
236.0ms
(cbrt z)
256.0ms
(cbrt z)
81.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01441257
14041201
21699903
done5001806

prune407.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x z) y)
5.3b
(/ x (/ z y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
13×fma-def associate-/r*
7×add-exp-log add-cbrt-cube
6×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out
Counts
2 → 99
Calls
2 calls:
22.0ms
(+ (/ x z) y)
9.0ms
(/ x (/ z y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (/ x z) y)
46.0ms
(/ x (/ z y))

simplify2.6s

Counts
105 → 105
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01751033
1383960
21145912
33400908
done5000908

prune316.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11318
done1318

end0.0ms

sample958.0ms

Algorithm
intervals
Results
486.0ms10007×body80valid