Details

Time bar (total: 13.9s)

sample26.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
6.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations
IterNodes
done92
592
491
371
240
118
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt 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:
89.0ms
(* a (+ (+ b c) d))

series55.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* a (+ (+ b c) d))

simplify2.8s

Counts
29 → 29
Iterations
IterNodes
done5000
33949
2667
1165
054

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite344.0ms

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-cbrt-cube add-exp-log add-cube-cbrt
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:
28.0ms
(sqrt (+ (+ b c) d))
30.0ms
(sqrt (+ (+ b c) d))
105.0ms
(* a (sqrt (+ (+ b c) d)))
177.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series373.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (+ (+ b c) d))
85.0ms
(sqrt (+ (+ b c) d))
119.0ms
(* a (sqrt (+ (+ b c) d)))
88.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify3.4s

Counts
113 → 113
Iterations
IterNodes
done5000
34961
21248
1380
0141

prune680.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
3×associate-*l*
2×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
2 → 35
Calls
2 calls:
0.0ms
(fma c a (* a (+ b d)))
31.0ms
(* a (+ b d))

series89.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma c a (* a (+ b d)))
35.0ms
(* a (+ b d))

simplify2.1s

Counts
41 → 41
Iterations
IterNodes
done5002
32443
2535
1168
064

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ flip-+ fma-udef distribute-lft-out
Counts
2 → 25
Calls
2 calls:
0.0ms
(fma c a (+ (* a b) (* a d)))
15.0ms
(+ (* a b) (* a d))

series90.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma c a (+ (* a b) (* a d)))
41.0ms
(+ (* a b) (* a d))

simplify1.8s

Counts
31 → 31
Iterations
IterNodes
done5000
31534
2447
1132
047

prune157.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes535.0ms

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
done11
111
08

end0.0ms

sample770.0ms

Algorithm
intervals
Results
287.0ms8000×pre80true
225.0ms8000×body80valid