Details

Time bar (total: 8.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms322×body80valid

simplify510.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
01113
12012
25010
31479
42819
53909
64029
done4029

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ d3 5.0) 32.0)
0.0b
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×distribute-lft-out
7×add-sqr-sqrt add-log-exp
6×associate-*r*
5×add-cube-cbrt
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
29.0ms
(+ (+ d3 5.0) 32.0)
286.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (+ d3 5.0) 32.0)
31.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify487.0ms

Counts
54 → 54
Iterations

Useful iterations: done (486.0ms)

IterNodesCost
083495
1235461
2901422
done5000420

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ d3 5.0) 32.0)
0.0b
(* (+ (+ d3 5.0) 32.0) d1)
0.0b
(+ (* (+ (+ d3 5.0) 32.0) d1) (* d2 d1))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
10×add-log-exp
8×add-sqr-sqrt
7×distribute-lft-out
6×add-cube-cbrt
5×pow1 add-exp-log fma-def associate-*l* add-cbrt-cube
4×sum-log
3×expm1-log1p-u flip3-+ associate-*r* flip-+ log1p-expm1-u
2×+-commutative associate-*l/
1×associate-+l+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 60
Calls
3 calls:
29.0ms
(+ (+ d3 5.0) 32.0)
80.0ms
(* (+ (+ d3 5.0) 32.0) d1)
31.0ms
(+ (* (+ (+ d3 5.0) 32.0) d1) (* d2 d1))

series84.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (+ d3 5.0) 32.0)
29.0ms
(* (+ (+ d3 5.0) 32.0) d1)
38.0ms
(+ (* (+ (+ d3 5.0) 32.0) d1) (* d2 d1))

simplify775.0ms

Counts
69 → 69
Iterations

Useful iterations: done (773.0ms)

IterNodesCost
093693
1253620
2993570
done5001564

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
0.8b
(cbrt (+ d3 5.0))
0.8b
(cbrt (+ d3 5.0))
0.8b
(cbrt (+ d3 5.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
36.0ms
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
6.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))
4.0ms
(cbrt (+ d3 5.0))

series360.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))
85.0ms
(cbrt (+ d3 5.0))
86.0ms
(cbrt (+ d3 5.0))
87.0ms
(cbrt (+ d3 5.0))

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01541535
13431389
28941324
323761174
done50011140

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2)))
1.9b
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
4.4b
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
25.6b
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
32×frac-add
28×flip3-+ flip-+
25×distribute-lft-out
18×associate-/r/
17×flip3-- associate-*r* flip--
16×frac-times
12×unpow-prod-down cube-prod associate-*r/
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt associate-*l/
6×pow1
4×expm1-log1p-u log1p-expm1-u
3×associate-+r+ times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg associate-+l+ distribute-lft-in diff-log div-exp prod-diff prod-exp sum-log cbrt-unprod associate-/l/
1×+-commutative associate-+r- distribute-rgt-out-- fma-def frac-2neg fma-neg pow-prod-down clear-num sum-cubes *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 135
Calls
4 calls:
65.0ms
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2)))
8.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
592.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
362.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2)))
31.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
153.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
214.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

simplify447.0ms

Counts
147 → 147
Iterations

Useful iterations: done (441.0ms)

IterNodesCost
02846420
110335433
done50005077

prune484.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
done1511

end0.0ms

sample590.0ms

Algorithm
intervals
Results
297.0ms10042×body80valid
2.0ms16×body640valid
1.0ms10×body320valid
1.0ms5×body1280valid
0.0ms6×body160valid