Details

Time bar (total: 18.4s)

sample46.0ms

Algorithm
intervals
Results
11.0ms256×pre80true
10.0ms256×body80valid

simplify99.0ms

Counts
1 → 1
Iterations
IterNodes
done90
590
489
371
240
118
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite148.0ms

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:
146.0ms
(* a (+ (+ b c) d))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* a (+ (+ b c) d))

simplify4.2s

Counts
29 → 29
Iterations
IterNodes
done5000
33972
2664
1165
054

prune226.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite321.0ms

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:
151.0ms
(* (sqrt a) (+ (+ b c) d))
166.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series311.0ms

Counts
2 → 6
Calls
2 calls:
188.0ms
(* (sqrt a) (+ (+ b c) d))
116.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify2.2s

Counts
65 → 65
Iterations
IterNodes
done5006
21218
1303
095

prune458.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
0.3b
(* (sqrt a) (/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
0.4b
(* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a))
20.0b
(/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-/r/
32×frac-add
31×associate-*r*
26×flip3-+ flip-+
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
16×frac-times flip3-- flip--
13×add-cube-cbrt *-un-lft-identity
9×associate-*r/ associate-*l*
8×pow1 associate-*l/ sqrt-prod
6×times-frac prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×pow-prod-down *-commutative div-inv
1×frac-2neg clear-num fma-udef associate-/l*
Counts
4 → 126
Calls
4 calls:
1.0ms
(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
284.0ms
(* (sqrt a) (/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
22.0ms
(* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a))
123.0ms
(/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

series1.6s

Counts
4 → 12
Calls
4 calls:
219.0ms
(fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d)))
538.0ms
(* (sqrt a) (/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d)))))
469.0ms
(* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a))
387.0ms
(/ (* (fma (* (+ b c) (+ b c)) (+ b c) (* d (* d d))) (sqrt a)) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

simplify4.7s

Counts
138 → 138
Iterations
IterNodes
done5000
23970
1917
0270

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes630.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
465.0ms8000×body80valid
334.0ms8000×pre80true