Details

Time bar (total: 41.6s)

sample77.0ms

Algorithm
intervals
Results
20.0ms258×body80valid
19.0ms286×body80nan

simplify7.7s

Counts
1 → 1
Iterations
IterNodes
done5000
64166
52057
4627
3203
263
121
010

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (fma (log y) (+ 0.5 y) (- z y)))
0.1b
(fma (log y) (+ 0.5 y) (- z y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×prod-diff add-cube-cbrt
4×add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
17.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
3.0ms
(fma (log y) (+ 0.5 y) (- z y))

series185.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(- x (fma (log y) (+ 0.5 y) (- z y)))
107.0ms
(fma (log y) (+ 0.5 y) (- z y))

simplify5.9s

Counts
47 → 47
Iterations
IterNodes
done5000
32479
2635
1239
0103

prune721.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite663.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
20×add-log-exp
18×prod-diff
12×log-prod
7×pow1 fma-neg distribute-lft-out
6×distribute-rgt-in distribute-lft-in add-cbrt-cube diff-log add-exp-log associate--r+
5×associate-+l+
4×expm1-log1p-u sum-log associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×sub-neg fma-def
2×flip3-+ flip3-- associate-*l/ associate-+l- flip-+ flip-- distribute-lft-out--
1×associate--l- +-commutative pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 121
Calls
4 calls:
26.0ms
(- x (* (+ y 0.5) (log y)))
469.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
107.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
54.0ms
(* (+ y 0.5) (log y))

series751.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- x (* (+ y 0.5) (log y)))
119.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
81.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
454.0ms
(* (+ y 0.5) (log y))

simplify4.3s

Counts
133 → 133
Iterations
IterNodes
done5001
21739
1573
0217

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize181.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (cbrt y)) (+ 0.5 y))
0.3b
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*r/
20×frac-add
18×flip3-+ flip-+
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u
3×distribute-rgt-in distribute-lft-in pow1/3
2×associate-+l+ associate-+r+ log-pow distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
67.0ms
(* (log (cbrt y)) (+ 0.5 y))
103.0ms
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
3.0ms
(cbrt y)
3.0ms
(cbrt y)

series2.8s

Counts
4 → 12
Calls
4 calls:
778.0ms
(* (log (cbrt y)) (+ 0.5 y))
1.5s
(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
280.0ms
(cbrt y)
288.0ms
(cbrt y)

simplify6.5s

Counts
100 → 100
Iterations
IterNodes
done5001
23404
1735
0205

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (cbrt y))
0.1b
(+ (- x (* (log (cbrt y)) (* 3 (+ 0.5 y)))) y)
0.3b
(* (log (cbrt y)) (* 3 (+ 0.5 y)))
0.6b
(cbrt y)

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×pow1
10×add-sqr-sqrt add-exp-log add-cube-cbrt
9×add-cbrt-cube add-log-exp
6×cbrt-prod log-prod
5×associate-+l+ associate-*l*
4×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ log-pow insert-posit16 log1p-expm1-u
3×fma-def pow1/3 prod-diff pow-prod-down prod-exp cbrt-unprod
2×sum-log flip3-+ flip-+
1×+-commutative sub-neg diff-log rem-log-exp associate-*r* *-commutative associate-+l- distribute-lft-out
Counts
4 → 87
Calls
4 calls:
5.0ms
(log (cbrt y))
83.0ms
(+ (- x (* (log (cbrt y)) (* 3 (+ 0.5 y)))) y)
115.0ms
(* (log (cbrt y)) (* 3 (+ 0.5 y)))
5.0ms
(cbrt y)

series1.5s

Counts
4 → 12
Calls
4 calls:
348.0ms
(log (cbrt y))
177.0ms
(+ (- x (* (log (cbrt y)) (* 3 (+ 0.5 y)))) y)
699.0ms
(* (log (cbrt y)) (* 3 (+ 0.5 y)))
253.0ms
(cbrt y)

simplify2.9s

Counts
99 → 99
Iterations
IterNodes
done5001
21359
1408
0156

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes528.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.0s

Algorithm
intervals
Results
665.0ms8040×body80valid
606.0ms7987×body80nan
0.0ms2×body320valid
0.0ms1×body640valid