Details

Time bar (total: 11.9s)

sample32.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
6.0ms256×body80valid

simplify84.0ms

Counts
1 → 1
Iterations
IterNodes
done117
5117
4113
376
241
118
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ (+ b c) d) a)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
88.0ms
(* (+ (+ b c) d) a)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (+ (+ b c) d) a)

simplify542.0ms

Counts
27 → 27
Iterations
IterNodes
done5000
2692
1134
051

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ c d) b))
0.0b
(sqrt (+ (+ b c) d))
0.2b
(* (sqrt (+ (+ c d) b)) a)
0.4b
(* (sqrt (+ (+ b c) d)) (* (sqrt (+ (+ c d) b)) a))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*l*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
45.0ms
(sqrt (+ (+ c d) b))
34.0ms
(sqrt (+ (+ b c) d))
68.0ms
(* (sqrt (+ (+ c d) b)) a)
195.0ms
(* (sqrt (+ (+ b c) d)) (* (sqrt (+ (+ c d) b)) a))

series475.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (+ (+ c d) b))
86.0ms
(sqrt (+ (+ b c) d))
125.0ms
(* (sqrt (+ (+ c d) b)) a)
189.0ms
(* (sqrt (+ (+ b c) d)) (* (sqrt (+ (+ c d) b)) a))

simplify1.3s

Counts
113 → 113
Iterations
IterNodes
done5000
22149
1494
0188

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (+ (+ b c) d))) (cbrt (sqrt (+ (+ b c) d))))
0.6b
(cbrt (sqrt (+ (+ b c) d)))
0.6b
(cbrt (sqrt (+ (+ b c) d)))
0.6b
(cbrt (sqrt (+ (+ b c) d)))

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
84×cbrt-prod
81×*-un-lft-identity
55×sqrt-prod
44×add-sqr-sqrt
33×distribute-lft-out
22×add-cube-cbrt
19×swap-sqr
18×cbrt-div sqrt-div
11×pow1 associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 138
Calls
4 calls:
473.0ms
(* (cbrt (sqrt (+ (+ b c) d))) (cbrt (sqrt (+ (+ b c) d))))
24.0ms
(cbrt (sqrt (+ (+ b c) d)))
14.0ms
(cbrt (sqrt (+ (+ b c) d)))
18.0ms
(cbrt (sqrt (+ (+ b c) d)))

series1.2s

Counts
4 → 12
Calls
4 calls:
362.0ms
(* (cbrt (sqrt (+ (+ b c) d))) (cbrt (sqrt (+ (+ b c) d))))
277.0ms
(cbrt (sqrt (+ (+ b c) d)))
267.0ms
(cbrt (sqrt (+ (+ b c) d)))
291.0ms
(cbrt (sqrt (+ (+ b c) d)))

simplify980.0ms

Counts
150 → 150
Iterations
IterNodes
done5001
21429
1314
0136

prune825.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ c (- b d)) a)
0.2b
(* (+ (+ c d) b) (* (+ c (- b d)) a))
6.6b
(/ (* (+ (+ c d) b) (* (+ c (- b d)) a)) (- (+ b c) d))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
19×add-cbrt-cube add-exp-log
18×associate-*l/
14×add-sqr-sqrt
13×flip3-+ flip-+
10×pow1 associate-*l*
8×frac-times add-cube-cbrt associate-/l/
7×prod-exp cbrt-unprod distribute-lft-out
6×associate-/r* times-frac
5×distribute-lft-out--
4×associate-*r* pow-prod-down associate-*r/
3×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative difference-of-squares
1×clear-num frac-2neg flip3-- div-inv flip-- associate-/l* unswap-sqr
Counts
3 → 95
Calls
3 calls:
53.0ms
(* (+ c (- b d)) a)
146.0ms
(* (+ (+ c d) b) (* (+ c (- b d)) a))
130.0ms
(/ (* (+ (+ c d) b) (* (+ c (- b d)) a)) (- (+ b c) d))

series198.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* (+ c (- b d)) a)
101.0ms
(* (+ (+ c d) b) (* (+ c (- b d)) a))
39.0ms
(/ (* (+ (+ c d) b) (* (+ c (- b d)) a)) (- (+ b c) d))

simplify2.0s

Counts
104 → 104
Iterations
IterNodes
done5000
24389
1548
0173

prune597.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
361.0ms8000×pre80true
311.0ms8000×body80valid