Details

Time bar (total: 42.1s)

sample306.0ms

Algorithm
intervals
Results
164.0ms1799×body80nan
19.0ms258×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
51804
4471
3157
261
127
015

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log z) t)
0.2b
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
0.3b
(+ (log (+ y x)) (- (log z) t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt prod-diff
22×add-cube-cbrt
17×pow1 associate-+r+
14×log-pow
10×log-prod
7×distribute-lft-out
6×associate--l+ distribute-lft-out-- add-log-exp
4×associate-+l+ fma-def fma-neg
3×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
2×log-div sum-log sub-neg flip3-+ diff-log associate-+l- flip-+
1×+-commutative associate-+r- flip3-- fma-udef flip-- difference-of-squares
Counts
3 → 94
Calls
3 calls:
12.0ms
(- (log z) t)
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
33.0ms
(+ (log (+ y x)) (- (log z) t))

series427.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- (log z) t)
119.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
204.0ms
(+ (log (+ y x)) (- (log z) t))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5001
21450
1440
0185

prune784.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
0.5b
(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×associate-+r+
17×add-sqr-sqrt add-cube-cbrt
15×prod-diff
9×cbrt-prod
8×pow1 add-log-exp
7×log-pow
6×log-prod associate--l+
5×pow1/3
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
3×fma-def distribute-lft-out
2×sum-log fma-udef distribute-lft-out--
1×+-commutative associate-+l+ associate-+r- sub-neg flip3-+ diff-log flip-+
Counts
4 → 81
Calls
4 calls:
44.0ms
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
0.0ms
(fma 2 (log (cbrt z)) (log (+ x y)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
573.0ms
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (- (log (cbrt z)) t))
172.0ms
(fma 2 (log (cbrt z)) (log (+ x y)))
256.0ms
(cbrt z)
221.0ms
(cbrt z)

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5000
21093
1319
0146

prune903.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
0.5b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.5b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.5b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
17.0ms
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

series4.6s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5000
24479
1966
0313

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize140.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.5b
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
0.5b
(cbrt (* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))))
0.5b
(cbrt (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
8.0ms
(cbrt (* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))))
2.0ms
(cbrt (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))

series4.4s

Counts
4 → 12
Calls
4 calls:
936.0ms
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.1s
(cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))
1.3s
(cbrt (* (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))) (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t))))))
1.0s
(cbrt (cbrt (fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))))

simplify3.3s

Counts
65 → 65
Iterations
IterNodes
done5000
11253
0419

prune1.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes2.2s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample12.9s

Algorithm
intervals
Results
7.0s55994×body80nan
1.5s8040×body80valid