Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
11.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
2.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 0.99229 (* x 0.04481))
33.0ms
(+ 2.30753 (* x 0.27061))
69.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401622
11709574
25001574

prune205.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
11.3b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt
58×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×flip3-+ div-exp flip-+
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative distribute-rgt-in pow-flip distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
11.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ 2.30753 (* x 0.27061))
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
64.0ms
(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
60.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify85.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06531866
132311701
250011620

prune294.0ms

Filtered
160 candidates to 93 candidates (58.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
0.1b
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.3b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
16.4b
(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
180×cbrt-prod
146×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
90×unpow-prod-down cube-prod
42×associate-/r*
27×associate-/r/
14×flip3-+ flip-+ div-inv
13×add-exp-log
10×add-cbrt-cube
6×pow1 cube-mult unpow3 associate-/l* sqr-pow
4×div-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow 1-exp rem-cbrt-cube inv-pow
Counts
4 → 304
Calls
4 calls:
28.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
8.0ms
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
9.0ms
(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

series260.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
81.0ms
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
55.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
61.0ms
(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

simplify127.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07805027
136834327
250014302

prune456.0ms

Filtered
316 candidates to 126 candidates (39.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.3b
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
17.1b
(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
66×unpow-prod-down
49×add-sqr-sqrt
47×add-cube-cbrt *-un-lft-identity
45×times-frac
30×cube-prod
15×add-exp-log
13×pow-unpow
11×add-cbrt-cube
10×associate-/r/
8×pow-exp
7×pow1 flip3-+ flip-+
5×div-inv
4×add-log-exp
3×distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in div-exp associate-*r* associate-*l* associate-/r* associate-/l* sqr-pow
2×cbrt-undiv cube-mult pow-pow unpow3 associate-*r/ associate-/l/ rem-cube-cbrt
1×cube-div neg-sub0 distribute-rgt-in pow-neg neg-mul-1 frac-2neg distribute-lft-in pow-prod-down prod-exp clear-num *-commutative cbrt-unprod pow-sub unswap-sqr
Counts
4 → 165
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
20.0ms
(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

series413.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (+ 0.99229 (* x 0.04481)))
81.0ms
(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
54.0ms
(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
207.0ms
(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

simplify130.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
09522382
142792183
250032179

prune423.0ms

Filtered
177 candidates to 105 candidates (59.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12711

end0.0ms

sample332.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid