Details

Time bar (total: 28.8s)

sample36.0ms

Algorithm
intervals
Results
9.0ms305×body80valid

simplify6.6s

Counts
1 → 1
Iterations
IterNodes
done5001
83211
71893
61154
5639
4260
3105
244
122
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 53
Calls
2 calls:
152.0ms
(* x (+ (- y z) 1.0))
81.0ms
(/ (* x (+ (- y z) 1.0)) z)

series158.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* x (+ (- y z) 1.0))
85.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.5s

Counts
59 → 59
Iterations
IterNodes
done5000
21036
1281
0100

prune604.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.1b
(/ x (/ z (+ (- y z) 1.0)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×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 insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
84.0ms
(/ z (+ (- y z) 1.0))
83.0ms
(/ x (/ z (+ (- y z) 1.0)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(/ z (+ (- y z) 1.0))
132.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify3.1s

Counts
151 → 151
Iterations
IterNodes
done5001
21767
1524
0206

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1.0 (/ x z)) x)
2.2b
(fma (/ x z) y (- (* 1.0 (/ x z)) x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity prod-diff add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log fma-udef flip--
Counts
2 → 30
Calls
2 calls:
37.0ms
(- (* 1.0 (/ x z)) x)
2.0ms
(fma (/ x z) y (- (* 1.0 (/ x z)) x))

series163.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (* 1.0 (/ x z)) x)
87.0ms
(fma (/ x z) y (- (* 1.0 (/ x z)) x))

simplify6.5s

Counts
36 → 36
Iterations
IterNodes
done5000
44104
31053
2361
1154
066

prune504.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x (+ y 1.0)) z) x)
0.0b
(* x (+ y 1.0))
2.7b
(/ (* x (+ y 1.0)) z)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
21×prod-diff
15×times-frac
10×add-cbrt-cube add-exp-log
7×fma-neg
5×pow1 div-inv add-log-exp
4×associate-*r* associate-*r/
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
53.0ms
(- (/ (* x (+ y 1.0)) z) x)
46.0ms
(* x (+ y 1.0))
24.0ms
(/ (* x (+ y 1.0)) z)

series216.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (/ (* x (+ y 1.0)) z) x)
62.0ms
(* x (+ y 1.0))
75.0ms
(/ (* x (+ y 1.0)) z)

simplify2.5s

Counts
106 → 106
Iterations
IterNodes
done5000
21147
1394
0152

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes581.0ms

Accuracy

86.8% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.4b

bsearch139.0ms

Steps
ItersRangePoint
8
2.7447661215180404e-148
1.2246190568921578e-143
3.9282800100974894e-146
8
-1.5822571461885421e-53
-2.608121358475139e-56
-3.1017139283996586e-54

simplify17.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
513.0ms10227×body80valid