Details

Time bar (total: 8.5s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
4.0ms256×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1187
2397
3647
4787
done787

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite40.0ms

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:
39.0ms
(* a (+ (+ b c) d))

series31.0ms

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

simplify1.2s

Counts
29 → 29
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
054271
1149256
2514228
32214228
done5001228

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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 fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(+ (* (+ b c) a) (* a d))
10.0ms
(* (+ b c) a)

series48.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* (+ b c) a) (* a d))
22.0ms
(* (+ b c) a)

simplify2.3s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
072414
1197371
2726325
33230323
done5000323

prune87.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 59
Calls
2 calls:
42.0ms
(* (sqrt a) (+ (+ b c) d))
40.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(* (sqrt a) (+ (+ b c) d))
54.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify2.5s

Counts
65 → 65
Iterations

Useful iterations: done (2.4s)

IterNodesCost
095816
1266657
21011576
34715570
done5001567

prune117.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* c c))
0.0b
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* a d))
0.6b
(* (- (* b b) (* c c)) a)
13.7b
(/ (* (- (* b b) (* c c)) a) (- b c))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
11×add-exp-log fma-def add-cbrt-cube
10×add-cube-cbrt times-frac
8×add-log-exp
6×pow1
5×flip3-- associate-/r* flip-- difference-of-squares
4×expm1-log1p-u associate-*l* associate-*l/ associate-/r/ log1p-expm1-u
3×associate-*r* distribute-lft-out--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff pow-prod-down clear-num sum-log *-commutative flip-+ associate-/l* unswap-sqr
Counts
4 → 95
Calls
4 calls:
3.0ms
(- (* b b) (* c c))
23.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* a d))
10.0ms
(* (- (* b b) (* c c)) a)
9.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))

series188.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* b b) (* c c))
60.0ms
(+ (/ (* (- (* b b) (* c c)) a) (- b c)) (* a d))
42.0ms
(* (- (* b b) (* c c)) a)
54.0ms
(/ (* (- (* b b) (* c c)) a) (- b c))

simplify625.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
01471478
13991391
217311218
done50011218

prune246.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes146.0ms

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
089
1129
done129

end0.0ms

sample514.0ms

Algorithm
intervals
Results
181.0ms8000×pre80true
142.0ms8000×body80valid