Details

Time bar (total: 6.3s)

sample83.0ms

Algorithm
intervals
Results
32.0ms685×body80nan
12.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
88×add-exp-log add-cbrt-cube
36×prod-exp cbrt-unprod
27×cbrt-undiv div-exp
26×add-sqr-sqrt
18×associate-*l*
17×add-cube-cbrt *-un-lft-identity
15×times-frac
9×associate-*r*
8×pow1
4×sqrt-prod div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 124
Calls
4 calls:
7.0ms
(/ x (* y 27.0))
15.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
22.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (* y 27.0))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
95.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07221318
139171017
250011015

prune293.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b
(/ (sqrt 1.0) (cbrt 3.0))
4.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
83×add-cbrt-cube
79×add-sqr-sqrt
78×times-frac
61×add-cube-cbrt *-un-lft-identity
45×associate-*l* sqrt-prod
41×cbrt-prod
35×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
9×associate-*r*
8×pow1
7×associate-/r* associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 193
Calls
4 calls:
27.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
7.0ms
(/ (sqrt 1.0) (cbrt 3.0))
67.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
21.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series236.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ (sqrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ (sqrt 1.0) (cbrt 3.0))
99.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07942226
141651925
250011917

prune646.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
0.2b
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
4.5b
(* (sqrt t) (/ x (* z y)))
7.0b
(/ x (* z y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
35×add-cbrt-cube
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
12×times-frac
11×pow1
9×associate-*l*
8×cbrt-undiv div-exp associate-*r*
7×associate-/r*
6×cbrt-prod
4×pow-prod-down sqrt-prod associate-/l* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
11.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
46.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
23.0ms
(* (sqrt t) (/ x (* z y)))
8.0ms
(/ x (* z y))

series274.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ (* (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (sqrt 1.0)) (cbrt 3.0))
74.0ms
(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
72.0ms
(* (sqrt t) (/ x (* z y)))
22.0ms
(/ x (* z y))

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0505909
12307769
25001763

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 y) (/ x 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))))
4.5b
(* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))
6.0b
(/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
245×add-exp-log
147×add-cbrt-cube
119×prod-exp
81×div-exp
67×cbrt-unprod
55×add-sqr-sqrt
45×cbrt-undiv
37×times-frac
31×*-un-lft-identity associate-*l*
29×add-cube-cbrt
22×associate-*r*
10×pow1 rec-exp 1-exp unswap-sqr
5×associate-*r/ div-inv
4×associate-*l/ sqrt-prod add-log-exp
3×pow-prod-down *-commutative associate-/l/
2×frac-times
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 193
Calls
4 calls:
23.0ms
(* (/ 1 y) (/ x 27.0))
14.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))))
125.0ms
(* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))
44.0ms
(/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (/ 1 y) (/ x 27.0))
18.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))))
92.0ms
(* (/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (* (/ 1 y) (/ x 27.0))) (* z 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011342023
150011544

prune364.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s23686×body80nan
384.0ms8000×body80valid