Details

Time bar (total: 18.6s)

sample62.0ms

Algorithm
intervals
Results
21.0ms301×body80nan
14.0ms257×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
41080
3208
263
121
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
11×associate-+r+
10×add-log-exp
3×expm1-log1p-u pow1 fma-def add-cbrt-cube fma-neg add-exp-log log1p-expm1-u
2×sum-log sub-neg diff-log fma-udef distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip3-- flip-+ flip-- associate--r+ difference-of-squares
Counts
3 → 70
Calls
3 calls:
13.0ms
(+ x (- y (fma (+ 0.5 y) (log y) z)))
0.0ms
(fma (+ 0.5 y) (log y) z)
7.0ms
(- y (fma (+ 0.5 y) (log y) z))

series202.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (- y (fma (+ 0.5 y) (log y) z)))
43.0ms
(fma (+ 0.5 y) (log y) z)
77.0ms
(- y (fma (+ 0.5 y) (log y) z))

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
done5001
21480
1342
0137

prune602.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×add-sqr-sqrt
27×prod-diff
24×add-cube-cbrt
20×add-log-exp
16×associate-+r+
10×associate--l+
7×pow1 diff-log
6×add-cbrt-cube fma-neg add-exp-log
5×sub-neg
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
3×sum-log fma-def distribute-lft-out
2×distribute-rgt-in distribute-lft-in flip3-+ flip3-- associate-*r/ flip-+ flip-- associate--r+ distribute-lft-out--
1×associate--l- +-commutative associate-+r- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 120
Calls
4 calls:
50.0ms
(- (- y (* (log y) (+ 0.5 y))) z)
80.0ms
(+ x (- (- y (* (log y) (+ 0.5 y))) z))
9.0ms
(- y (* (log y) (+ 0.5 y)))
16.0ms
(* (log y) (+ 0.5 y))

series1.2s

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (- y (* (log y) (+ 0.5 y))) z)
61.0ms
(+ x (- (- y (* (log y) (+ 0.5 y))) z))
575.0ms
(- y (* (log y) (+ 0.5 y)))
443.0ms
(* (log y) (+ 0.5 y))

simplify1.4s

Counts
132 → 132
Iterations
IterNodes
done5000
22653
1571
0206

prune880.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))) z))
0.1b
(- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y))))
0.4b
(* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))
0.4b
(* (log y) (sqrt (+ 0.5 y)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
16×associate-+r+
15×prod-diff add-log-exp
14×sqrt-div associate-*r*
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*l* associate--l+
4×expm1-log1p-u frac-times diff-log pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out
3×sum-log sub-neg fma-def fma-neg
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative associate-+r- flip3-- log-pow flip-- distribute-lft-out--
Counts
4 → 117
Calls
4 calls:
57.0ms
(+ x (- (- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))) z))
5.0ms
(- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y))))
59.0ms
(* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))
29.0ms
(* (log y) (sqrt (+ 0.5 y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ x (- (- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))) z))
635.0ms
(- y (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y))))
399.0ms
(* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))
91.0ms
(* (log y) (sqrt (+ 0.5 y)))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
done5000
23164
1699
0261

prune732.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y))))) (sqrt (cbrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
0.5b
(* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))))
0.5b
(sqrt (cbrt (+ 0.5 y)))
0.8b
(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

rewrite747.0ms

Algorithm
rewrite-expression-head
Rules
190×sqrt-div
188×cbrt-div
144×frac-times
121×flip3-+ flip-+
110×associate-*r/
72×associate-*l/
36×*-un-lft-identity
31×add-sqr-sqrt
29×cbrt-prod
24×pow1
18×associate-*r* add-cube-cbrt
17×add-exp-log
15×add-cbrt-cube
13×sqrt-prod
12×associate-*l*
9×swap-sqr pow-prod-down
8×prod-exp cbrt-unprod distribute-lft-out
7×pow1/3
6×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow-sqr pow-prod-up
1×pow2 pow-plus pow1/2 log-pow
Counts
4 → 216
Calls
4 calls:
625.0ms
(* (* (* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y))))) (sqrt (cbrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
62.0ms
(* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))))
12.0ms
(sqrt (cbrt (+ 0.5 y)))
33.0ms
(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (* (* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y))))) (sqrt (cbrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
479.0ms
(* (log y) (sqrt (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))))
124.0ms
(sqrt (cbrt (+ 0.5 y)))
161.0ms
(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

simplify1.4s

Counts
228 → 228
Iterations
IterNodes
done5001
11269
0478

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.7s

Algorithm
intervals
Results
701.0ms8044×body80valid
445.0ms8160×body80nan
0.0ms1×body320valid