Details

Time bar (total: 16.6s)

sample33.0ms

Algorithm
intervals
Results
14.0ms310×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
114445
101808
9704
8290
7124
656
552
446
337
224
116
06

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

4.7b
(fma (/ x 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 (/ x z) y x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (/ x z) y x)

simplify3.2s

Counts
13 → 13
Iterations
IterNodes
done5000
53865
4682
3162
251
125
018

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (/ x z) y x)) (cbrt (fma (/ x z) y x)))
4.7b
(fma (/ x z) y x)
4.7b
(fma (/ x z) y x)
4.7b
(fma (/ x z) y x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (fma (/ x z) y x)) (cbrt (fma (/ x z) y x)))
0.0ms
(fma (/ x z) y x)
0.0ms
(fma (/ x z) y x)
0.0ms
(fma (/ x z) y x)

series320.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (fma (/ x z) y x)) (cbrt (fma (/ x z) y x)))
37.0ms
(fma (/ x z) y x)
38.0ms
(fma (/ x z) y x)
59.0ms
(fma (/ x z) y x)

simplify4.8s

Counts
84 → 84
Iterations
IterNodes
done5000
33233
2467
1141
073

prune447.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
18.0ms
(* x (+ y z))
18.0ms
(/ (* x (+ y z)) z)

series96.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (+ y z))
48.0ms
(/ (* x (+ y z)) z)

simplify1.9s

Counts
56 → 56
Iterations
IterNodes
done5000
21220
1253
090

prune288.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.3b
(/ x (/ z (+ y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 127
Calls
2 calls:
9.0ms
(/ z (+ y z))
26.0ms
(/ x (/ z (+ y z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ z (+ y z))
57.0ms
(/ x (/ z (+ y z)))

simplify1.3s

Counts
133 → 133
Iterations
IterNodes
done5001
22405
1490
0191

prune604.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

33.3% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.9b

bsearch64.0ms

Steps
ItersRangePoint
8
8.530191924173724e-31
2.970249882165607e-27
1.8311060284693882e-30
8
-3.9497206088629343e-63
-3.978907169753604e-67
-3.8866513719229164e-63

simplify4.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample769.0ms

Algorithm
intervals
Results
471.0ms9606×body80valid