Details

Time bar (total: 16.9s)

sample43.0ms

Algorithm
intervals
Results
28.0ms313×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5001
73066
61514
5705
4310
3119
246
122
08

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite122.0ms

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:
72.0ms
(* x (+ (- y z) 1.0))
47.0ms
(/ (* x (+ (- y z) 1.0)) z)

series128.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (+ (- y z) 1.0))
86.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.1s

Counts
59 → 59
Iterations
IterNodes
done5000
34975
21017
1276
0100

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 (/ x z) (- (* (/ y z) x) x))
0.0b
(- (* (/ y z) x) x)
5.7b
(* (/ y z) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
12×add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u associate-*r* prod-diff insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- distribute-rgt-out-- fma-neg diff-log div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv flip--
Counts
3 → 66
Calls
3 calls:
0.0ms
(fma 1.0 (/ x z) (- (* (/ y z) x) x))
20.0ms
(- (* (/ y z) x) x)
11.0ms
(* (/ y z) x)

series154.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(fma 1.0 (/ x z) (- (* (/ y z) x) x))
55.0ms
(- (* (/ y z) x) x)
32.0ms
(* (/ y z) x)

simplify2.2s

Counts
75 → 75
Iterations
IterNodes
done5011
33024
2902
1297
0126

prune349.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 (/ x z) (- (* y (/ x z)) x))
0.0b
(- (* y (/ x z)) x)
4.1b
(* y (/ x z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u associate-*l* prod-diff insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv flip--
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma 1.0 (/ x z) (- (* y (/ x z)) x))
10.0ms
(- (* y (/ x z)) x)
10.0ms
(* y (/ x z))

series146.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(fma 1.0 (/ x z) (- (* y (/ x z)) x))
37.0ms
(- (* y (/ x z)) x)
33.0ms
(* y (/ x z))

simplify1.5s

Counts
74 → 74
Iterations
IterNodes
done5000
2963
1311
0126

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (/ x z) (+ y 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×associate-*r*
3×pow1
2×frac-times flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ unswap-sqr
1×distribute-rgt-in expm1-log1p-u cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative insert-posit16 log1p-expm1-u div-inv distribute-lft-out add-log-exp
Counts
1 → 42
Calls
1 calls:
25.0ms
(* (/ x z) (+ y 1.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (/ x z) (+ y 1.0))

simplify1.4s

Counts
45 → 45
Iterations
IterNodes
done5000
21203
1337
095

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

59.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch98.0ms

Steps
ItersRangePoint
8
1.6178981226654433e-292
1.4653045584094638e-288
1.4441879214959917e-288
8
-5.5526078831285184e+17
-22511205481733.605
-148408012023565.47

simplify3.0ms

Iterations
IterNodes
done25
125
021

end0.0ms

sample1.3s

Algorithm
intervals
Results
941.0ms10192×body80valid