Details

Time bar (total: 6.2s)

sample89.0ms

Algorithm
intervals
Results
41.0ms849×body80nan
12.0ms256×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
29×add-sqr-sqrt
27×cbrt-undiv div-exp
21×associate-*l*
18×add-cube-cbrt *-un-lft-identity
16×associate-*r*
15×times-frac
10×pow1
5×unswap-sqr
4×sqrt-prod div-inv add-log-exp
3×pow-prod-down *-commutative
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
4 → 130
Calls
4 calls:
9.0ms
(* 3.0 (/ x (* y 27.0)))
8.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
32.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 3.0 (/ x (* y 27.0)))
19.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07401370
142811055
250021053

prune325.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.7b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×prod-exp cbrt-unprod
27×associate-*l*
26×cbrt-undiv div-exp
22×cbrt-prod
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 152
Calls
4 calls:
14.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
30.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series195.0ms

Counts
4 → 10
Calls
4 calls:
75.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
93.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
27.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07551633
140891341
250021339

prune544.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
1.0b
(/ 1.0 (cbrt 3.0))
2.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
103×add-cbrt-cube
55×prod-exp cbrt-unprod
48×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
27×associate-*l*
22×cbrt-undiv cbrt-prod div-exp
9×associate-*r*
8×pow1
7×associate-/r*
5×unswap-sqr
4×sqrt-prod div-inv associate-/l* add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 159
Calls
4 calls:
11.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
3.0ms
(/ 1.0 (cbrt 3.0))
45.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series202.0ms

Counts
4 → 10
Calls
4 calls:
76.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
97.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
29.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify117.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07891724
145901386
250011386

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 2.0) (* y 27.0))
1.0b
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
2.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
6.0b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
111×add-exp-log add-cbrt-cube
61×prod-exp cbrt-unprod
20×cbrt-undiv div-exp
19×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow-prod-down
7×associate-*r*
6×associate-*l*
4×sqrt-prod add-log-exp
3×unpow-prod-down pow-unpow cube-prod
2×times-frac *-commutative div-inv unswap-sqr
1×cube-mult pow-to-exp pow-pow frac-2neg unpow3 associate-*l/ pow-exp clear-num associate-/r* associate-/l* rem-cube-cbrt sqr-pow
Counts
4 → 123
Calls
4 calls:
10.0ms
(* (* z 2.0) (* y 27.0))
1.0ms
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
45.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
12.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* z 2.0) (* y 27.0))
22.0ms
(pow (acos (* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))) 3)
102.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
28.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify111.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06671307
14237950
25003946

prune360.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes421.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23746×body80nan
399.0ms8000×body80valid