Details

Time bar (total: 36.5s)

sample47.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
16.0ms256×pre80true

simplify224.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
224.0ms
(+ (+ (+ (+ e d) c) b) a)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
3 → 54
Calls
3 calls:
Slowest
394.0ms
(+ (+ (+ (+ e d) c) b) a)
128.0ms
(+ (+ (+ e d) c) b)
18.0ms
(+ (+ e d) c)

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
67.0ms
(+ (+ (+ (+ e d) c) b) a)
33.0ms
(+ (+ (+ e d) c) b)
22.0ms
(+ (+ e d) c)

simplify2.4s

Counts
29 → 63
Calls
29 calls:
Slowest
251.0ms
(+ (+ (+ (+ e d) c) b) a)
249.0ms
(+ (+ (+ (+ e d) c) b) a)
241.0ms
(+ (+ (+ (+ e d) c) b) a)
236.0ms
(+ (+ (+ (+ e d) c) b) a)
182.0ms
(* (* (* (* (exp e) (exp d)) (exp c)) (exp b)) (exp a))

prune626.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (+ (+ d e) (+ (+ c a) b)))
0.2b
(+ (+ d e) (+ (+ c a) b))
0.1b
(+ (+ c a) b)
0.0b
(log (exp (+ (+ d e) (+ (+ c a) b))))

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
52×add-log-exp
48×distribute-lft-out
33×sum-log
18×exp-prod
10×log-pow
7×add-sqr-sqrt add-cube-cbrt rem-exp-log
6×flip3-+ flip-+
5×pow1
4×log-prod add-cbrt-cube frac-add add-exp-log insert-posit16
2×+-commutative associate-+l+ exp-sum
1×associate-+r+ rem-log-exp
Counts
4 → 93
Calls
4 calls:
Slowest
260.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
215.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
76.0ms
(+ (+ d e) (+ (+ c a) b))
35.0ms
(+ (+ c a) b)

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(log (exp (+ (+ d e) (+ (+ c a) b))))
75.0ms
(+ (+ d e) (+ (+ c a) b))
57.0ms
(exp (+ (+ d e) (+ (+ c a) b)))
19.0ms
(+ (+ c a) b)

simplify8.9s

Counts
67 → 105
Calls
67 calls:
Slowest
586.0ms
(* (* (exp d) (exp e)) (* (* (exp c) (exp a)) (exp b)))
389.0ms
(+ (* (+ (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))))
377.0ms
(+ (* (- (* d d) (* e e)) (+ (* (+ c a) (+ c a)) (- (* b b) (* (+ c a) b)))) (* (- d e) (+ (pow (+ c a) 3) (pow b 3))))
353.0ms
(exp (* (cbrt (+ (+ d e) (+ (+ c a) b))) (cbrt (+ (+ d e) (+ (+ c a) b)))))
351.0ms
(* (+ (* d d) (- (* e e) (* d e))) (- (+ c a) b))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
3.4b
(exp (+ e (+ d (+ b (+ a c)))))
0.2b
(+ e (+ d (+ b (+ a c))))
0.2b
(+ d (+ b (+ a c)))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
42×add-log-exp
36×distribute-lft-out
26×sum-log
25×exp-prod
8×add-sqr-sqrt log-pow add-cube-cbrt
6×exp-sum rem-exp-log
5×pow1
4×log-prod add-cbrt-cube add-exp-log insert-posit16
2×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 83
Calls
4 calls:
Slowest
1.4s
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
455.0ms
(exp (+ e (+ d (+ b (+ a c)))))
121.0ms
(+ e (+ d (+ b (+ a c))))
57.0ms
(+ d (+ b (+ a c)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(+ e (+ d (+ b (+ a c))))
70.0ms
(exp (+ e (+ d (+ b (+ a c)))))
55.0ms
(exp (log (exp (+ e (+ d (+ b (+ a c)))))))
40.0ms
(+ d (+ b (+ a c)))

simplify6.0s

Counts
57 → 95
Calls
57 calls:
Slowest
330.0ms
(exp (* (cbrt (+ e (+ d (+ b (+ a c))))) (cbrt (+ e (+ d (+ b (+ a c)))))))
283.0ms
(+ e (+ d (+ b (+ a c))))
282.0ms
(exp (cbrt (+ e (+ d (+ b (+ a c))))))
268.0ms
(exp (sqrt (+ e (+ d (+ b (+ a c))))))
267.0ms
(+ e (+ d (+ b (+ a c))))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

3.4b
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
1.3b
(exp (+ a c))
0.4b
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
0.3b
(* (exp d) (* (exp b) (exp (+ a c))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
35×exp-prod *-un-lft-identity
28×pow1
18×add-cbrt-cube
16×pow-prod-up
15×pow-prod-down
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt
7×add-exp-log add-log-exp
6×associate-*l* log-pow
4×insert-posit16 distribute-lft-out
3×rem-exp-log
2×associate-*r* exp-sum *-commutative
1×log-prod sum-log
Counts
4 → 79
Calls
4 calls:
Slowest
1.4s
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
385.0ms
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
141.0ms
(* (exp d) (* (exp b) (exp (+ a c))))
11.0ms
(exp (+ a c))

series285.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(exp (log (* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))))
87.0ms
(* (exp d) (* (exp b) (exp (+ a c))))
84.0ms
(* (exp e) (* (exp d) (* (exp b) (exp (+ a c)))))
15.0ms
(exp (+ a c))

simplify5.7s

Counts
59 → 91
Calls
59 calls:
Slowest
393.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp (+ a c))) (* (exp b) (exp (+ a c)))) (* (exp b) (exp (+ a c))))))
391.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (* (exp b) (exp (+ a c)))) (* (exp d) (* (exp b) (exp (+ a c))))) (* (exp d) (* (exp b) (exp (+ a c))))))
370.0ms
(* (* (* (exp e) (exp e)) (exp e)) (* (* (* (exp d) (exp d)) (exp d)) (* (* (* (exp b) (exp b)) (exp b)) (* (* (exp (+ a c)) (exp (+ a c))) (exp (+ a c))))))
301.0ms
(+ e (+ d (+ b (+ a c))))
267.0ms
(+ e (+ d (+ b (+ a c))))

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes374.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s8000×pre80true
500.0ms8000×body80valid