Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
11.0ms279×body80valid
0.0ms3×body1280valid
0.0ms2×body320valid
0.0ms1×body640valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2327
3457
4497
done497

prune5.0ms

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

rewrite40.0ms

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-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
7.0ms
(+ 20.0 (+ 10.0 d2))
31.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ 20.0 (+ 10.0 d2))
33.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify787.0ms

Counts
45 → 45
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
065392
1185378
2537334
32092334
done5000334

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 20.0 (+ 10.0 d2)))
0.2b
(cbrt (+ 20.0 (+ 10.0 d2)))
0.4b
(* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2)))))
0.4b
(* (* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2))))) (cbrt (+ 20.0 (+ 10.0 d2))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-+ flip-+
32×frac-times
24×*-un-lft-identity
18×pow1 add-exp-log
16×associate-*l/
15×cbrt-prod
11×add-cbrt-cube
10×add-sqr-sqrt
9×add-cube-cbrt associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 109
Calls
4 calls:
7.0ms
(cbrt (+ 20.0 (+ 10.0 d2)))
7.0ms
(cbrt (+ 20.0 (+ 10.0 d2)))
54.0ms
(* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2)))))
219.0ms
(* (* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2))))) (cbrt (+ 20.0 (+ 10.0 d2))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (+ 20.0 (+ 10.0 d2)))
90.0ms
(cbrt (+ 20.0 (+ 10.0 d2)))
140.0ms
(* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2)))))
38.0ms
(* (* d1 (* (cbrt (+ 20.0 (+ 10.0 d2))) (cbrt (+ 20.0 (+ 10.0 d2))))) (cbrt (+ 20.0 (+ 10.0 d2))))

simplify666.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
02163262
15943108
218452687
done50002687

prune288.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 20.0 (+ 10.0 d2))
0.0b
(+ 20.0 (+ 10.0 d2))
0.1b
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
0.2b
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt flip3-+ flip-+
6×sum-log
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
9.0ms
(+ 20.0 (+ 10.0 d2))
7.0ms
(+ 20.0 (+ 10.0 d2))
30.0ms
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
61.0ms
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ 20.0 (+ 10.0 d2))
17.0ms
(+ 20.0 (+ 10.0 d2))
62.0ms
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
34.0ms
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

simplify523.0ms

Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
01291391
13421137
21182995