Details

Time bar (total: 17.3s)

sample29.0ms

Algorithm
intervals
Results
14.0ms303×body80valid
1.0ms3×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
09204
118164
233124
349124
461124
562124
done62124

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

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-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
20.0ms
(+ 20.0 (+ 10.0 d2))
84.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ 20.0 (+ 10.0 d2))
45.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify3.7s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0657766
11976681
27516641
341216601
done50126601

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize46.0ms

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×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube 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 → 73
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:
328.0ms
(* (cbrt d1) (cbrt d1))
260.0ms
(cbrt d1)
278.0ms
(cbrt d1)
275.0ms
(cbrt d1)

simplify4.2s

Counts
85 → 85
Iterations

Useful iterations: done (4.2s)

IterNodesCost
06117134
113614621
237714346
397113666
4311413666
done500513626

prune337.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 20.0 (+ 10.0 d2))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
5.5b
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
8.2b
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
22×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
9×distribute-lft-out add-log-exp
8×associate-*r*
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*r/ flip-+ distribute-lft-out--
4×frac-times flip3-- flip-- difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num sum-log frac-2neg pow-plus pow-sqr pow-prod-up div-inv associate-/l* associate--r+
Counts
4 → 113
Calls
4 calls:
12.0ms
(- 20.0 (+ 10.0 d2))
47.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
46.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
41.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- 20.0 (+ 10.0 d2))
18.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
83.0ms
(* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2))))
209.0ms
(/ (* d1 (- (* 20.0 20.0) (* (+ 10.0 d2) (+ 10.0 d2)))) (- 20.0 (+ 10.0 d2)))

simplify2.5s

Counts
125 → 125
Iterations

Useful iterations: done (2.5s)

IterNodesCost
018332657
155627523
2231326280
done500025920

prune536.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 1.0 (* d2 d1)) (* 30.0 d1))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 11
Calls
1 calls:
24.0ms
(+ (* 1.0 (* d2 d1)) (* 30.0 d1))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(+ (* 1.0 (* d2 d1)) (* 30.0 d1))

simplify2.9s

Counts
14 → 14
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
0293761
11023390
23992910
316522910
done50002910

prune84.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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
08164
112164
done12164

end0.0ms

sample661.0ms

Algorithm
intervals
Results
455.0ms9012×body80valid
8.0ms51×body1280valid
7.0ms51×body640valid
3.0ms25×body320valid
1.0ms16×body160valid