Details

Time bar (total: 11.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms280×body80valid
0.0ms3×body1280valid
0.0ms2×body160valid
0.0ms1×body640valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ (+ 10.0 d2) 20.0))
0.0b
(+ (+ 10.0 d2) 20.0)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
71.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
28.0ms
(+ (+ 10.0 d2) 20.0)

series52.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
17.0ms
(+ (+ 10.0 d2) 20.0)

simplify1.3s

Counts
45 → 45
Iterations

Useful iterations: 3 (550.0ms)

IterNodesCost
065392
1177380
2609342
33059334
done5002334

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite21.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
21.0ms
(* d1 (+ d2 30.0))

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (+ d2 30.0))

simplify3.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
046194
1127183
2383163
31293163
44250163
done5001163

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.2b
(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
0.7b
(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

rewrite387.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
70×cbrt-div
52×cbrt-prod
35×flip3-+ flip-+
33×distribute-lft-out
32×frac-times
30×pow1
26×add-sqr-sqrt
17×pow1/3
16×add-cube-cbrt associate-*r* associate-*l/
14×swap-sqr
11×add-exp-log pow-prod-up
10×associate-*r/
9×associate-*l*
7×pow-plus pow-prod-down
6×unswap-sqr
5×pow-sqr add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
3×pow2
2×*-commutative
1×pow3
Counts
4 → 153
Calls
4 calls:
15.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
15.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
130.0ms
(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
216.0ms
(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
84.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
100.0ms
(* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))
18.0ms
(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

simplify2.3s

Counts
165 → 165
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02083722
14773462
213313061
341832692
done50012657

prune302.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 10.0 d2) 20.0)
0.0b
(pow (+ 10.0 d2) 3)
2.8b
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
16.4b
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
18×associate-/r/
17×add-sqr-sqrt flip3-+ flip-+
16×associate-*r* frac-add distribute-lft-out
14×add-exp-log add-cbrt-cube
13×add-cube-cbrt
12×unpow-prod-down cube-prod
9×pow1
8×frac-times flip3-- associate-*r/ flip--
7×associate-*l*
6×associate-*l/
4×add-log-exp
3×pow-unpow times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv cube-div div-exp pow-prod-down *-commutative associate-/l/ unswap-sqr
1×distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 pow-exp clear-num sum-cubes div-inv associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 121
Calls
4 calls:
19.0ms
(* (+ 10.0 d2) 20.0)
9.0ms
(pow (+ 10.0 d2) 3)
182.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
122.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (+ 10.0 d2) 20.0)
25.0ms
(pow (+ 10.0 d2) 3)
73.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
176.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify2.0s

Counts
133 → 133
Iterations

Useful iterations: 2 (579.0ms)

IterNodesCost
02733163
18752771
245172447
done50002447

prune374.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample389.0ms

Algorithm
intervals
Results
193.0ms8991×body80valid
6.0ms63×body1280valid
4.0ms56×body640valid
1.0ms21×body320valid
1.0ms19×body160valid