Details

Time bar (total: 5.9s)

sample88.0ms

Algorithm
intervals
Results
40.0ms779×body80nan
14.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03810
112210
250910
3223710
4500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (* y 27.0))
1.0b
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite45.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 132
Calls
4 calls:
5.0ms
(/ x (* y 27.0))
10.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
14.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (* y 27.0))
20.0ms
(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
104.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07321374
139331073
250021068

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u 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 → 160
Calls
4 calls:
10.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms
(/ 1.0 (cbrt 3.0))
15.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
10.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series260.0ms

Counts
4 → 10
Calls
4 calls:
108.0ms
(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms
(/ 1.0 (cbrt 3.0))
122.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07651691
141051399
250021394

prune602.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (/ x (* y 27.0)))
0.7b
(/ x (* y 27.0))
1.5b
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
3.2b
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
38×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
18×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
8×pow1 times-frac associate-*l*
4×expm1-log1p-u sqrt-prod log1p-expm1-u div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
1×associate-*l/ associate-/l/
Counts
4 → 127
Calls
4 calls:
8.0ms
(* 3.0 (/ x (* y 27.0)))
5.0ms
(/ x (* y 27.0))
16.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
12.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series199.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 3.0 (/ x (* y 27.0)))
31.0ms
(/ x (* y 27.0))
111.0ms
(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
35.0ms
(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06201035
13660769
25003764

prune409.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* z 2.0) (* y 27.0))
1.5b
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
7.6b
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
109×add-exp-log add-cbrt-cube
61×prod-exp cbrt-unprod
20×cbrt-undiv div-exp
17×pow1
10×add-sqr-sqrt
9×pow-prod-down
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×times-frac *-commutative div-inv unswap-sqr
1×frac-2neg associate-*l/ clear-num associate-/r* associate-/l*
Counts
3 → 106
Calls
3 calls:
8.0ms
(* (* z 2.0) (* y 27.0))
21.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
11.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* z 2.0) (* y 27.0))
116.0ms
(* (/ (* 3.0 x) (* (* z 2.0) (* y 27.0))) (sqrt t))
39.0ms
(/ (* 3.0 x) (* (* z 2.0) (* y 27.0)))

simplify123.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
05911026
13843722
25003717

prune260.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes252.0ms

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
03116
13116

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s23830×body80nan
421.0ms8000×body80valid