Details

Time bar (total: 14.1s)

sample30.0ms

Algorithm
intervals
Results
12.0ms329×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify850.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
01113
12012
25010
31479
43779
57019
68519
78939
89019
done9019

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite473.0ms

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:
53.0ms
(+ (+ d3 5.0) 32.0)
419.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series58.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ d3 5.0) 32.0)
39.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify766.0ms

Counts
54 → 54
Iterations

Useful iterations: done (765.0ms)

IterNodesCost
083495
1248461
21099424
done5001422

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))) (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))))
0.6b
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
0.6b
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
0.6b
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
68.0ms
(* (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))) (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))))
114.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
102.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
126.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))

series1.1s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))) (cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2))))
263.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
245.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))
272.0ms
(cbrt (* d1 (+ (+ (+ d3 5.0) 32.0) d2)))

simplify971.0ms

Counts
92 → 92
Iterations

Useful iterations: done (966.0ms)

IterNodesCost
01672343
14432164
216301976
done50001816

prune499.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.7b
(cbrt d1)
0.7b
(cbrt d1)
0.7b
(cbrt d1)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
18.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.1s

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (cbrt d1) (cbrt d1))
268.0ms
(cbrt d1)
273.0ms
(cbrt d1)
249.0ms
(cbrt d1)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5001409

prune373.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.8b
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
8.2b
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
15.9b
(/ (* d1 (- (* (+ (+ 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
74×*-un-lft-identity
30×distribute-lft-out
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
11×swap-sqr
9×distribute-rgt-in distribute-lft-in associate-*r*
8×associate-*l*
7×times-frac associate-/r*
6×flip3-+ associate-*r/ associate--l+ flip-+ distribute-lft-out-- add-log-exp
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u difference-of-squares
3×sub-neg prod-diff prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus fma-neg diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 136
Calls
4 calls:
265.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
83.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
272.0ms
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
396.0ms
(/ (* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

series357.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
53.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
121.0ms
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
159.0ms
(/ (* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

simplify3.0s

Counts
148 → 148
Iterations

Useful iterations: 2 (949.0ms)

IterNodesCost
02093204
16713010
246622627
done50002627

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes125.0ms

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
0910
11210
done1210

end0.0ms

sample1.1s

Algorithm
intervals
Results
669.0ms10028×body80valid
3.0ms19×body640valid
2.0ms11×body1280valid
1.0ms9×body320valid
0.0ms4×body160valid