Details

Time bar (total: 8.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms319×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
1125
2185
done185

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 d3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
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 distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
27.0ms
(* d1 (+ d2 d3))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* d1 (+ d2 d3))

simplify2.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
048206
1144195
2596177
34410175
done5000175

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 14
Calls
1 calls:
8.0ms
(+ (* d2 d1) (* d1 d3))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ (* d2 d1) (* d1 d3))

simplify1.6s

Counts
17 → 17
Iterations

Useful iterations: done (1.6s)

IterNodesCost
031182
1108142
2523126
32983125
done5000124

prune59.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
0.6b
(cbrt (+ d2 d3))
0.6b
(cbrt (+ d2 d3))
0.6b
(cbrt (+ d2 d3))

rewrite56.0ms

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:
40.0ms
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
4.0ms
(cbrt (+ d2 d3))
4.0ms
(cbrt (+ d2 d3))
4.0ms
(cbrt (+ d2 d3))

series585.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
137.0ms
(cbrt (+ d2 d3))
135.0ms
(cbrt (+ d2 d3))
139.0ms
(cbrt (+ d2 d3))

simplify616.0ms

Counts
115 → 115
Iterations

Useful iterations: done (613.0ms)

IterNodesCost
01201316
12881189
211781128
done50001104

prune353.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ d2 d3))
0.0b
(sqrt (+ d2 d3))
0.1b
(* d1 (sqrt (+ d2 d3)))
0.2b
(* (* d1 (sqrt (+ d2 d3))) (sqrt (+ d2 d3)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×sqrt-div
17×sqrt-prod
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 97
Calls
4 calls:
8.0ms
(sqrt (+ d2 d3))
8.0ms
(sqrt (+ d2 d3))
24.0ms
(* d1 (sqrt (+ d2 d3)))
57.0ms
(* (* d1 (sqrt (+ d2 d3))) (sqrt (+ d2 d3)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ d2 d3))
37.0ms
(sqrt (+ d2 d3))
68.0ms
(* d1 (sqrt (+ d2 d3)))
52.0ms
(* (* d1 (sqrt (+ d2 d3))) (sqrt (+ d2 d3)))

simplify944.0ms

Counts
109 → 109
Iterations

Useful iterations: done (942.0ms)

IterNodesCost
01451269
13921012
21910935
done5000905

prune316.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes107.0ms

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
055
175
done75

end0.0ms

sample683.0ms

Algorithm
intervals
Results
269.0ms10018×body80valid