Details

Time bar (total: 35.3s)

sample415.0ms

Algorithm
intervals
Results
202.0ms1797×body80nan
55.0ms258×body80valid

simplify2.6s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

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)))
0.4b
(+ (log (+ y x)) (- (log z) t))

rewrite49.0ms

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:
14.0ms
(- (log z) t)
0.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
28.0ms
(+ (log (+ y x)) (- (log z) t))

series547.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- (log z) t)
136.0ms
(fma (log t) (- a 0.5) (+ (log (+ y x)) (- (log z) t)))
325.0ms
(+ (log (+ y x)) (- (log z) t))

simplify784.0ms

Counts
103 → 103
Iterations
IterNodes
done5001
21450
1440
0185

prune699.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ y x)) (cbrt (+ y x)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ y x))
0.6b
(cbrt (+ y x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
31.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
3.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ y x))
13.0ms
(cbrt (+ y x))

series813.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (+ y x)) (cbrt (+ y x)))
201.0ms
(cbrt (+ x y))
183.0ms
(cbrt (+ y x))
206.0ms
(cbrt (+ y x))

simplify891.0ms

Counts
115 → 115
Iterations
IterNodes
done5000
21556
1376
0160

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log z)) (cbrt (log z)))
0.5b
(cbrt (log z))
0.5b
(cbrt (log z))
0.5b
(cbrt (log z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×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 → 89
Calls
4 calls:
18.0ms
(* (cbrt (log z)) (cbrt (log z)))
1.0ms
(cbrt (log z))
1.0ms
(cbrt (log z))
1.0ms
(cbrt (log z))

series1.7s

Counts
4 → 12
Calls
4 calls:
407.0ms
(* (cbrt (log z)) (cbrt (log z)))
474.0ms
(cbrt (log z))
442.0ms
(cbrt (log z))
406.0ms
(cbrt (log z))

simplify914.0ms

Counts
101 → 101
Iterations
IterNodes
done5000
2616
1152
066

prune786.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

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

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:
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.0ms
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
21.0ms
(* (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))) (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))))

series6.1s

Counts
4 → 12
Calls
4 calls:
1.4s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.4s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.4s
(cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y))))))
1.9s
(* (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))) (cbrt (fma (- a 0.5) (log t) (- (log z) (- t (log (+ x y)))))))

simplify646.0ms

Counts
93 → 93
Iterations
IterNodes
done5001
11159
0341

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes1.9s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
224
123
020

end0.0ms

sample13.7s

Algorithm
intervals
Results
8.4s55980×body80nan
1.0s8048×body80valid