Details

Time bar (total: 40.1s)

sample75.0ms

Algorithm
intervals
Results
34.0ms256×pre80true
17.0ms256×body80valid

simplify273.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
273.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (+ (+ (+ e d) c) b) a)
0.2b
(+ (+ (+ e d) c) b)
0.2b
(+ (+ e d) c)

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×add-log-exp
29×distribute-lft-out
19×sum-log
15×fma-def
6×add-sqr-sqrt add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
3 → 75
Calls
3 calls:
Slowest
468.0ms
(+ (+ (+ (+ e d) c) b) a)
103.0ms
(+ (+ (+ e d) c) b)
39.0ms
(+ (+ e d) c)

series136.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(+ (+ (+ (+ e d) c) b) a)
32.0ms
(+ (+ (+ e d) c) b)
24.0ms
(+ (+ e d) c)

simplify3.0s

Counts
35 → 84
Calls
35 calls:
Slowest
352.0ms
(+ (+ (+ (+ e d) c) b) a)
266.0ms
(+ (+ (+ (+ e d) c) b) a)
264.0ms
(+ (+ (+ (+ e d) c) b) a)
244.0ms
(+ (+ (+ (+ e d) c) b) a)
213.0ms
(* (* (* (exp e) (exp d)) (exp c)) (exp b))

prune854.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (+ (+ d e) (+ (+ c a) b)))
0.3b
(+ (+ d e) (+ (+ c a) b))
0.2b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite710.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
52×add-log-exp
50×distribute-lft-out
33×sum-log
18×exp-prod
10×log-pow
9×add-sqr-sqrt add-cube-cbrt
8×fma-def
7×rem-exp-log
6×flip3-+ flip-+
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube frac-add add-exp-log insert-posit16 log1p-expm1-u
2×+-commutative associate-+l+ exp-sum
1×associate-+r+ rem-log-exp
Counts
4 → 109
Calls
4 calls:
Slowest
330.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
237.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
100.0ms
(+ (+ d e) (+ (+ c a) b))
40.0ms
(+ (+ c a) b)

series256.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
98.0ms
(+ (+ d e) (+ (+ c a) b))
74.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
56.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
28.0ms
(+ (+ c a) b)

simplify8.9s

Counts
71 → 121
Calls
71 calls:
Slowest
489.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
436.0ms
(+ (* (+ (pow d 3) (pow e 3)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (+ (* d d) (- (* e e) (* d e))) (+ (pow (+ c a) 3) (pow b 3))))
392.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))
322.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
305.0ms
(+ (+ d e) (+ (+ c a) b))

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
3.3b
(exp (+ e (+ d (+ b (+ a c)))))
0.2b
(+ e (+ d (+ b (+ a c))))
0.2b
(+ d (+ b (+ a c)))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
42×add-log-exp
36×distribute-lft-out
26×sum-log
25×exp-prod
10×add-sqr-sqrt add-cube-cbrt
8×log-pow
6×fma-def exp-sum rem-exp-log
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 97
Calls
4 calls:
Slowest
1.5s
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
430.0ms
(exp (+ e (+ d (+ b (+ a c)))))
135.0ms
(+ e (+ d (+ b (+ a c))))
45.0ms
(+ d (+ b (+ a c)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(+ e (+ d (+ b (+ a c))))
62.0ms
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
60.0ms
(+ d (+ b (+ a c)))
59.0ms
(exp (+ e (+ d (+ b (+ a c)))))

simplify6.1s

Counts
61 → 109
Calls
61 calls:
Slowest
487.0ms
(exp (* (cbrt (+ e (+ d (+ b (+ a c))))) (cbrt (+ e (+ d (+ b (+ a c)))))))
293.0ms
(+ e (+ d (+ b (+ a c))))
283.0ms
(+ e (+ d (+ b (+ a c))))
274.0ms
(exp (cbrt (+ e (+ d (+ b (+ a c))))))
267.0ms
(+ e (+ d (+ b (+ a c))))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

3.3b
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
0.4b
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))
0.4b
(* (exp a) (exp c))
0.3b
(* (exp d) (* (exp b) (* (exp a) (exp c))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
44×pow1
29×add-cbrt-cube
27×pow-prod-down
25×exp-prod *-un-lft-identity
17×prod-exp cbrt-unprod
12×pow-prod-up
11×add-sqr-sqrt
9×associate-*l* add-exp-log add-cube-cbrt
6×log-pow
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
1×log-prod exp-sum unswap-sqr rem-exp-log
Counts
4 → 96
Calls
4 calls:
Slowest
1.2s
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
407.0ms
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))
132.0ms
(* (exp d) (* (exp b) (* (exp a) (exp c))))
14.0ms
(* (exp a) (exp c))

series345.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))
121.0ms
(exp (log (* (exp e) (* (exp d) (* (exp b) (* (exp a) (exp c)))))))
63.0ms
(* (exp d) (* (exp b) (* (exp a) (exp c))))
30.0ms
(* (exp a) (exp c))

simplify8.4s

Counts
66 → 108
Calls
66 calls:
Slowest
651.0ms
(+ e (+ d (+ b (+ a c))))
546.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (* (exp a) (exp c))) (* (exp b) (* (exp a) (exp c)))) (* (exp b) (* (exp a) (exp c))))))
492.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp a) (exp a)) (exp a)) (* (* (exp c) (exp c)) (exp c))))))
449.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (* (exp a) (exp c)) (* (exp a) (exp c))) (* (exp a) (exp c))))))
403.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (* (exp b) (* (exp a) (exp c)))) (* (exp d) (* (exp b) (* (exp a) (exp c))))) (* (exp d) (* (exp b) (* (exp a) (exp c))))))

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
665.0ms8000×pre80true
490.0ms8000×body80valid