Details

Time bar (total: 8.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms302×body80valid
1.0ms9×body320valid
1.0ms6×body640valid
0.0ms2×body1280valid
0.0ms4×body160valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1199
2437
3657
4697
5707
done707

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d3 (+ 3.0 d2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
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 add-log-exp unswap-sqr
Counts
1 → 26
Calls
1 calls:
28.0ms
(* d1 (+ d3 (+ 3.0 d2)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* d1 (+ d3 (+ 3.0 d2)))

simplify1.4s

Counts
29 → 29
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
053281
1153265
2590234
32568234
done5000234

prune56.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

rewrite37.0ms

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:
9.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
8.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
11.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

series710.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
170.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
170.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))
171.0ms
(cbrt (* d1 (+ d3 (+ 3.0 d2))))

simplify660.0ms

Counts
92 → 92
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
01652017
14211836
212841652
done50001420

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
0.3b
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*l/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 61
Calls
2 calls:
30.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
59.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

series94.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* d1 (sqrt (+ d3 (+ 3.0 d2))))
28.0ms
(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (774.0ms)

IterNodesCost
01211179
1325896
21092784
34834771
done5000771

prune121.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))
8.8b
(* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2))))
16.8b
(/ (* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
106×*-un-lft-identity
72×prod-diff
70×distribute-rgt-in distribute-lft-in
58×add-sqr-sqrt
50×add-cube-cbrt
24×distribute-lft-out
22×associate-*r/
19×add-exp-log add-cbrt-cube
12×frac-times
10×pow1 flip3-- flip--
9×flip3-+ flip-+
8×associate-*l* associate-/l/
7×associate-*r* prod-exp cbrt-unprod
6×sub-neg times-frac associate-*l/ associate-/r* distribute-lft-out--
4×pow-prod-down
3×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp difference-of-squares
2×associate-/r/ *-commutative
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
3 → 186
Calls
3 calls:
74.0ms
(* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))
71.0ms
(* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2))))
105.0ms
(/ (* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))
75.0ms
(* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2))))
28.0ms
(/ (* d1 (* (+ (+ 3.0 d2) d3) (- d3 (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify1.5s

Counts
195 → 195
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02765859
18124876
241633818
done50013813

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample488.0ms

Algorithm
intervals
Results
242.0ms9503×body80valid
19.0ms220×body640valid
10.0ms146×body320valid
10.0ms85×body1280valid
5.0ms99×body160valid