Details

Time bar (total: 4.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms312×body80valid
0.0ms5×body640valid
0.0ms5×body320valid
0.0ms2×body1280valid
0.0ms3×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
36.0ms
(* d1 (+ (+ 3.0 d2) d3))

series31.0ms

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

simplify85.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.1b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
17.0ms
(sqrt (+ (+ 3.0 d2) d3))
16.0ms
(sqrt (+ (+ 3.0 d2) d3))
35.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
69.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ (+ 3.0 d2) d3))
35.0ms
(sqrt (+ (+ 3.0 d2) d3))
68.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
29.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0347749
11459655
25001635

prune188.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
0.2b
(* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
0.2b
(* (* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (sqrt (+ (+ 3.0 d2) d3)))
0.5b
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
294×sqrt-div
240×cbrt-div
172×frac-times
147×flip3-+ flip-+
142×associate-*r/
86×associate-*l/
76×*-un-lft-identity
68×cbrt-prod
50×sqrt-prod
45×add-sqr-sqrt
39×pow1
34×add-exp-log
31×associate-*r*
30×distribute-lft-out
22×add-cube-cbrt
21×pow-prod-down
20×prod-exp add-cbrt-cube cbrt-unprod
19×swap-sqr
16×associate-*l*
10×unswap-sqr
6×pow1/3
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 267
Calls
4 calls:
68.0ms
(* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
270.0ms
(* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
986.0ms
(* (* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (sqrt (+ (+ 3.0 d2) d3)))
77.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
68.0ms
(* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
33.0ms
(* (* (* d1 (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (sqrt (+ (+ 3.0 d2) d3)))
102.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

simplify150.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
010846727
142126156
250015849

prune596.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.9b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.4b
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
15.7b
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×associate-*l* distribute-lft-out
7×associate-*r*
6×flip3-+ times-frac swap-sqr associate-*l/ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 107
Calls
4 calls:
18.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
29.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
29.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

series178.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
35.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
59.0ms
(* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1)
65.0ms
(/ (* (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)) d1) (- (+ 3.0 d2) d3))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0512908
12586793
25003789

prune216.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample471.0ms

Algorithm
intervals
Results
236.0ms9617×body80valid
17.0ms192×body640valid
11.0ms100×body1280valid
10.0ms152×body320valid
3.0ms70×body160valid