Details

Time bar (total: 13.9s)

sample28.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1187
2417
3757
4937
done937

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
99.0ms
(* a (+ (+ b c) d))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* a (+ (+ b c) d))

simplify1.9s

Counts
29 → 29
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
054271
1152256
2593228
33461228
done5001228

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-out fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 38
Calls
2 calls:
20.0ms
(+ (* (+ b c) a) (* d a))
35.0ms
(* (+ b c) a)

series75.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* (+ b c) a) (* d a))
34.0ms
(* (+ b c) a)

simplify3.2s

Counts
44 → 44
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
072419
1203356
2832330
34169328
done5000328

prune410.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ b c) d))
0.0b
(sqrt (+ (+ b c) d))
0.3b
(* a (sqrt (+ (+ b c) d)))
0.4b
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
50.0ms
(sqrt (+ (+ b c) d))
40.0ms
(sqrt (+ (+ b c) d))
92.0ms
(* a (sqrt (+ (+ b c) d)))
145.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (+ (+ b c) d))
66.0ms
(sqrt (+ (+ b c) d))
101.0ms
(* a (sqrt (+ (+ b c) d)))
99.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify2.9s

Counts
113 → 113
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01411627
13701299
210621173
343951145
done50001141

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
0.7b
(cbrt (* (+ b c) a))
0.7b
(cbrt (* (+ b c) a))
0.7b
(cbrt (* (+ b c) a))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
35.0ms
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
7.0ms
(cbrt (* (+ b c) a))
10.0ms
(cbrt (* (+ b c) a))
9.0ms
(cbrt (* (+ b c) a))

series548.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (* (+ b c) a)) (cbrt (* (+ b c) a)))
132.0ms
(cbrt (* (+ b c) a))
123.0ms
(cbrt (* (+ b c) a))
133.0ms
(cbrt (* (+ b c) a))

simplify1.9s

Counts
92 → 92
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01431342
13321231
28721131
322251027
done5001971

prune370.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample988.0ms

Algorithm
intervals
Results
335.0ms8000×pre80true
314.0ms8000×body80valid