Details

Time bar (total: 10.4s)

sample42.0ms

Algorithm
intervals
Results
14.0ms256×pre80true
12.0ms256×body80valid

simplify357.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

2.8b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-log-exp
9×sum-log distribute-lft-out
6×fma-def
4×add-sqr-sqrt add-cube-cbrt
2×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
2 → 44
Calls
2 calls:
Slowest
34.0ms
(+ a (+ b (+ c d)))
11.0ms
(+ b (+ c d))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(+ a (+ b (+ c d)))
27.0ms
(+ b (+ c d))

simplify744.0ms

Counts
50 → 50

prune460.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 1 expressions with local error:

2.8b
(+ a (+ (+ b c) d))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
6×sum-log distribute-lft-out
3×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 23
Calls
1 calls:
Slowest
60.0ms
(+ a (+ (+ b c) d))

series57.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
57.0ms
(+ a (+ (+ b c) d))

simplify1.1s

Counts
26 → 26

prune297.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.1b

localize38.0ms

Local error

Found 3 expressions with local error:

2.8b
(+ a (+ (+ b c) d))
0.1b
(expm1 (+ a (+ (+ b c) d)))
0.1b
(log1p (expm1 (+ a (+ (+ b c) d))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-log-exp
6×sum-log distribute-lft-out
4×add-sqr-sqrt add-cube-cbrt log1p-expm1-u
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log insert-posit16
1×+-commutative associate-+r+ log1p-udef expm1-log1p flip3-+ log1p-expm1 flip-+ expm1-udef
Counts
3 → 47
Calls
3 calls:
Slowest
60.0ms
(+ a (+ (+ b c) d))
1.0ms
(expm1 (+ a (+ (+ b c) d)))
0.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
77.0ms
(log1p (expm1 (+ a (+ (+ b c) d))))
68.0ms
(expm1 (+ a (+ (+ b c) d)))
36.0ms
(+ a (+ (+ b c) d))

simplify1.2s

Counts
56 → 56

prune650.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
2.8b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×add-log-exp
18×sum-log distribute-lft-out
9×fma-def
7×add-sqr-sqrt add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×+-commutative associate-+r+ flip3-+ flip-+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 82
Calls
4 calls:
Slowest
82.0ms
(+ a (+ (+ b c) d))
47.0ms
(+ a (+ (+ b c) d))
42.0ms
(+ a (+ (+ b c) d))
19.0ms
(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
53.0ms
(+ a (+ (+ b c) d))
51.0ms
(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))
46.0ms
(+ a (+ (+ b c) d))
43.0ms
(+ a (+ (+ b c) d))

simplify1.2s

Counts
94 → 94

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
574.0ms8000×body80valid
546.0ms8000×pre80true