Details

Time bar (total: 9.9s)

sample33.0ms

Algorithm
intervals
Results
12.0ms331×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
51516
4404
3119
246
122
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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-+ 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 → 51
Calls
2 calls:
63.0ms
(* x (+ (- y z) 1.0))
31.0ms
(/ (* x (+ (- y z) 1.0)) z)

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ (- y z) 1.0))
68.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify874.0ms

Counts
57 → 57
Iterations
IterNodes
done5000
21306
1280
098

prune374.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* x 1.0) z) x)
1.8b
(fma (/ x z) y (- (/ (* x 1.0) z) x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×prod-diff
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
12×times-frac
7×fma-neg
4×div-inv add-log-exp
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
1×sub-neg flip3-- diff-log fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
29.0ms
(- (/ (* x 1.0) z) x)
1.0ms
(fma (/ x z) y (- (/ (* x 1.0) z) x))

series113.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (/ (* x 1.0) z) x)
60.0ms
(fma (/ x z) y (- (/ (* x 1.0) z) x))

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
done5000
32949
2596
1216
0100

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (- (+ 1.0 y) z))
3.4b
(/ x (/ z (- (+ 1.0 y) z)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
158×*-un-lft-identity
110×add-sqr-sqrt
78×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
16×distribute-lft-out difference-of-squares
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 → 159
Calls
2 calls:
33.0ms
(/ z (- (+ 1.0 y) z))
51.0ms
(/ x (/ z (- (+ 1.0 y) z)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ z (- (+ 1.0 y) z))
64.0ms
(/ x (/ z (- (+ 1.0 y) z)))

simplify1.3s

Counts
165 → 165
Iterations
IterNodes
done5000
23321
1614
0234

prune840.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ 1 z) (- (+ y 1.0) z))
3.7b
(* x (* (/ 1 z) (- (+ y 1.0) z)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
62×add-sqr-sqrt
53×add-cube-cbrt
26×add-exp-log
19×distribute-lft-out
16×add-cbrt-cube associate-*l*
13×prod-exp
11×times-frac
9×pow1 associate-*r/
7×associate-*r* cbrt-unprod
6×sub-neg associate--l+
4×frac-times flip3-- div-exp pow-prod-down flip--
3×unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp associate-*l/ *-commutative log1p-expm1-u distribute-lft-out-- add-log-exp
1×div-inv difference-of-squares
Counts
2 → 163
Calls
2 calls:
114.0ms
(* (/ 1 z) (- (+ y 1.0) z))
121.0ms
(* x (* (/ 1 z) (- (+ y 1.0) z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (/ 1 z) (- (+ y 1.0) z))
76.0ms
(* x (* (/ 1 z) (- (+ y 1.0) z)))

simplify424.0ms

Counts
169 → 169
Iterations
IterNodes
done5000
1783
0256

prune508.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes360.0ms

Accuracy

91% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify3.0ms

Iterations
IterNodes
done30
130
023

end0.0ms

sample1.1s

Algorithm
intervals
Results
529.0ms10133×body80valid