Details

Time bar (total: 11.3s)

sample38.0ms

Algorithm
intervals
Results
13.0ms256×pre80true
6.0ms256×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1217
2727
31247
41267
done1267

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.1b
(* a (+ (+ b c) d))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
add-sqr-sqrt distribute-lft-out add-log-exp
add-cube-cbrt associate-*r*
pow1 add-exp-log fma-def add-cbrt-cube
associate-*l* sum-log
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
40.0ms
(+ (+ b c) d)
112.0ms
(* a (+ (+ b c) d))

series55.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (+ b c) d)
32.0ms
(* a (+ (+ b c) d))

simplify2.3s

Counts
53 → 53
Iterations

Useful iterations: done (2.3s)

IterNodesCost
070428
1381407
done5000369

prune129.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
+-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:
21.0ms
(* (+ b c) a)
14.0ms
(+ (* (+ b c) a) (* d a))

series71.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (+ b c) a)
32.0ms
(+ (* (+ b c) a) (* d a))

simplify1.3s

Counts
44 → 44
Iterations

Useful iterations: done (1.3s)

IterNodesCost
072419
1385356
done5000330

prune128.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (+ b c) a (* d a))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (+ b c) a (* d a))

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
022136
171116
2840102
done5002102

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
0.1b
(sqrt (* (+ b c) a))
0.1b
(sqrt (* (+ b c) a))
0.5b
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*l/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
flip3-+ flip-+
add-cube-cbrt *-un-lft-identity
add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* log1p-expm1-u
associate-*r/
+-commutative pow2 fma-def pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 103
Calls
4 calls:
85.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
12.0ms
(sqrt (* (+ b c) a))
12.0ms
(sqrt (* (+ b c) a))
78.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* d a))
109.0ms
(sqrt (* (+ b c) a))
115.0ms
(sqrt (* (+ b c) a))
25.0ms
(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify2.9s

Counts
115 → 115
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01281610
done50011072

prune307.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes119.0ms

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
078
198
done98

end0.0ms

sample1.4s

Algorithm
intervals
Results
319.0ms8000×body80valid
270.0ms8000×pre80true