Details

Time bar (total: 46.9s)

sample63.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
21.0ms256×pre80true

simplify376.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
376.0ms
(* (+ a (+ b (+ c d))) 2)

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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
64.0ms
(+ a (+ b (+ c d)))
14.0ms
(+ b (+ c d))

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(+ a (+ b (+ c d)))
28.0ms
(+ b (+ c d))

simplify3.6s

Counts
46 → 50
Calls
46 calls:
Slowest
321.0ms
(+ (* b b) (- (* (+ c d) (+ c d)) (* b (+ c d))))
269.0ms
(* (* (+ a (+ b (+ c d))) (+ a (+ b (+ c d)))) (+ a (+ b (+ c d))))
258.0ms
(- a (+ b (+ c d)))
215.0ms
(* (exp a) (* (exp b) (* (exp c) (exp d))))
195.0ms
(+ (pow b 3) (pow (+ c d) 3))

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite77.0ms

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
76.0ms
(+ a (+ (+ b c) d))

series41.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(+ a (+ (+ b c) d))

simplify2.7s

Counts
24 → 26
Calls
24 calls:
Slowest
281.0ms
(- a (+ (+ b c) d))
264.0ms
(* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d)))
228.0ms
(* (exp a) (exp (+ (+ b c) d)))
214.0ms
(* (exp a) (* (* (exp b) (exp c)) (exp d)))
212.0ms
(* (exp a) (* (exp (+ b c)) (exp d)))

prune250.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-log-exp
9×distribute-lft-out
6×sum-log
5×fma-def
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 25
Calls
1 calls:
Slowest
100.0ms
(+ (+ a (+ b c)) d)

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(+ (+ a (+ b c)) d)

simplify2.4s

Counts
24 → 28
Calls
24 calls:
Slowest
315.0ms
(* (* (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d)) (+ (+ a (+ b c)) d))
239.0ms
(* (* (exp a) (exp (+ b c))) (exp d))
218.0ms
(* (* (exp a) (* (exp b) (exp c))) (exp d))
170.0ms
(* (exp (+ a (+ b c))) (exp d))
169.0ms
(exp (+ (+ a (+ b c)) d))

prune325.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.3b

localize25.0ms

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))
0.5b
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
31×add-log-exp
30×flip3-+ flip-+
28×frac-times
26×cbrt-div
18×sum-log distribute-lft-out
14×associate-*l/
9×fma-def
8×associate-*r/
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+
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 108
Calls
4 calls:
Slowest
388.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
85.0ms
(+ a (+ (+ b c) d))
78.0ms
(+ a (+ (+ b c) d))
60.0ms
(+ a (+ (+ b c) d))

series218.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
84.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
56.0ms
(+ a (+ (+ b c) d))
44.0ms
(+ a (+ (+ b c) d))
33.0ms
(+ a (+ (+ b c) d))

simplify32.1s

Counts
139 → 120
Calls
139 calls:
Slowest
901.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
886.0ms
(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))))
790.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ a (+ (+ b c) d))))
759.0ms
(cbrt (* (* (+ a (+ (+ b c) d)) (+ (pow a 3) (pow (+ (+ b c) d) 3))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))
756.0ms
(cbrt (* (* (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d)))) (+ (pow a 3) (pow (+ (+ b c) d) 3))))

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s8000×pre80true
558.0ms8000×body80valid