Details

Time bar (total: 5.4s)

sample26.0ms

Algorithm
intervals
Results
9.0ms337×body80valid
1.0ms6×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(+ (+ y z) z)
0.0b
(+ (+ (+ y z) z) y)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
1.1s
(* x (+ (+ (+ (+ y z) z) y) t))
411.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
27.0ms
(+ (+ y z) z)
114.0ms
(+ (+ (+ y z) z) y)

series165.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
65.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
25.0ms
(+ (+ y z) z)
33.0ms
(+ (+ (+ y z) z) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0374480
11624434
25001419

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 2 (+ z y)) t) x)
0.0b
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
53.0ms
(* (+ (* 2 (+ z y)) t) x)
14.0ms
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

series95.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (+ (* 2 (+ z y)) t) x)
58.0ms
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0221277
11030242
25001238

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ (* 2 (+ z y)) t) x)) (cbrt (* (+ (* 2 (+ z y)) t) x)))
2.1b
(cbrt (* (+ (* 2 (+ z y)) t) x))
2.1b
(cbrt (* (+ (* 2 (+ z y)) t) x))
2.1b
(cbrt (* (+ (* 2 (+ z y)) t) x))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
45.0ms
(* (cbrt (* (+ (* 2 (+ z y)) t) x)) (cbrt (* (+ (* 2 (+ z y)) t) x)))
16.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))
18.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))
17.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))

series738.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (* (+ (* 2 (+ z y)) t) x)) (cbrt (* (+ (* 2 (+ z y)) t) x)))
170.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))
172.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))
177.0ms
(cbrt (* (+ (* 2 (+ z y)) t) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0315960
11157872
25002822

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))
0.1b
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
0.1b
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
0.3b
(* (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
14.0ms
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))
12.0ms
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
13.0ms
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
78.0ms
(* (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))
167.0ms
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
170.0ms
(sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0)))
55.0ms
(* (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))) (sqrt (+ (pow (* (+ (* 2 (+ z y)) t) x) 1) (* y 5.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
02751409
111191266
250011212

prune258.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample704.0ms

Algorithm
intervals
Results
311.0ms10695×body80valid
14.0ms106×body640valid
12.0ms93×body1280valid
4.0ms55×body320valid
2.0ms29×body160valid