Details

Time bar (total: 31.5s)

sample54.0ms

Algorithm
intervals
Results
18.0ms256×pre80true
17.0ms256×body80valid

simplify343.0ms

Calls
1 calls:
Slowest
343.0ms
(* (+ a (+ b (+ c d))) 2)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize29.0ms

Local error

Found 2 expressions with local error:

2.7b
(+ a (+ b (+ c d)))
0.4b
(+ b (+ c d))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
2 calls:
Slowest
3.0ms
(+ a (+ b (+ c d)))
2.0ms
(+ b (+ c d))

series51.0ms

Calls
2 calls:
Slowest
35.0ms
(+ a (+ b (+ c d)))
16.0ms
(+ b (+ c d))

simplify131.0ms

Calls
7 calls:
Slowest
24.0ms
(+ b (+ c d))
23.0ms
(+ a (+ b c))
23.0ms
(+ b (+ c d))
22.0ms
(+ b (+ c d))
21.0ms
(+ b (+ c d))

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ a (+ (+ b c) d))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 +-commutative associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
3.0ms
(+ a (+ (+ b c) d))

series30.0ms

Calls
1 calls:
Slowest
30.0ms
(+ a (+ (+ b c) d))

simplify58.0ms

Calls
3 calls:
Slowest
24.0ms
(+ a (+ b c))
22.0ms
(+ b (+ c d))
11.0ms
(+ b (+ c d))

prune168.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×+-commutative associate-+r+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
18.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
7.0ms
(+ a (+ (+ b c) d))
5.0ms
(+ a (+ (+ b c) d))
3.0ms
(+ a (+ (+ b c) d))

series134.0ms

Calls
4 calls:
Slowest
49.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
34.0ms
(+ a (+ (+ b c) d))
27.0ms
(+ a (+ (+ b c) d))
23.0ms
(+ a (+ (+ b c) d))

simplify12.6s

Calls
39 calls:
Slowest
714.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
678.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
672.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))))
670.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
658.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune910.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.6b

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ a (+ (+ b c) d))
2.7b
(+ a (+ (+ b c) d))
2.7b
(+ (+ a (+ b c)) d)
0.6b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
14×associate-*l/
8×associate-*r/
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×+-commutative fma-def
2×associate-+r+
1×cbrt-prod associate-+l+ pow1/3
Calls
4 calls:
Slowest
30.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
8.0ms
(+ (+ a (+ b c)) d)
6.0ms
(+ a (+ (+ b c) d))
6.0ms
(+ a (+ (+ b c) d))

series139.0ms

Calls
4 calls:
Slowest
79.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
22.0ms
(+ a (+ (+ b c) d))
19.0ms
(+ (+ a (+ b c)) d)
19.0ms
(+ a (+ (+ b c) d))

simplify12.9s

Calls
41 calls:
Slowest
980.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
788.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
775.0ms
(cbrt (* (* (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ a (+ (+ b c) d))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
772.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow (+ a (+ b c)) 3) (pow d 3))))
692.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d))))

prune956.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 1.0b

regimes1.4s

Accuracy

0% (1.6b remaining)

Error of 2.7b against oracle of 1.1b and baseline of 2.7b

bsearch4.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
531.0ms8000×pre80true
455.0ms8000×body80valid