Details

Time bar (total: 6.9s)

sample37.0ms

Algorithm
intervals
Results
14.0ms224×body80valid
4.0ms17×body640valid
3.0ms12×body1280valid
2.0ms14×body320valid
1.0ms7×body160valid

simplify125.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.4b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.2b
(/ (* (- z t) y) (- a t))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
10.0ms
(* (- z t) y)
26.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series198.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
111.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
60.0ms
(/ (* (- z t) y) (- a t))

simplify48.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383461
11704422
25001422

prune207.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
3.4b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.5b
(/ (- z t) (/ (- a t) y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
176×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
44×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 flip3-- div-sub flip--
2×frac-2neg diff-log clear-num frac-sub
1×sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
3 → 197
Calls
3 calls:
7.0ms
(/ (- a t) y)
57.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
14.0ms
(/ (- z t) (/ (- a t) y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- a t) y)
110.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
102.0ms
(/ (- z t) (/ (- a t) y))

simplify82.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08531851
133261798
250011798

prune494.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
1.0b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
8.8b
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
409×add-sqr-sqrt
373×*-un-lft-identity
288×cbrt-prod
265×associate-*r*
205×add-cube-cbrt
84×distribute-lft-out-- difference-of-squares
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
16×cbrt-div
13×associate-*l*
12×unswap-sqr
9×flip3-- associate-/r/ flip-- add-log-exp
7×frac-times div-inv
6×pow1 frac-sub
5×associate-*r/ associate-*l/
3×flip3-+ flip-+
2×pow1/3 diff-log
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 382
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
164.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
18.0ms
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- a t))
142.0ms
(cbrt (- a t))
168.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
131.0ms
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
394 → 394
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
022817251
150016880

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
1.3b
(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
10.0b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ (cbrt (- a t)) (cbrt y)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv div-exp
16×cbrt-div
13×prod-exp cbrt-unprod
12×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
9×flip3-- flip-- add-log-exp
8×add-cube-cbrt associate-/l/
7×times-frac
6×frac-times frac-sub
5×associate-/r*
4×pow1 associate-*r/ associate-*l/
3×flip3-+ flip-+ div-inv
2×pow1/3 diff-log distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg associate--l+ clear-num sum-log associate-/r/ associate-/l*
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
18.0ms
(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
20.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ (cbrt (- a t)) (cbrt y)))))

series860.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- a t))
153.0ms
(cbrt (- a t))
386.0ms
(/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
174.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- z t)) (/ (cbrt (- a t)) (cbrt y)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08342048
135281698
250031626

prune425.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.4b

regimes334.0ms

Accuracy

13.1% (6.0b remaining)

Error of 10.1b against oracle of 4.1b and baseline of 11.0b

bsearch110.0ms

Steps
ItersRangePoint
7
1.2776165328015063e+58
1.917167849950724e+60
1.3792081327255185e+60
10
-4.380264671181666e+130
-2.1173531435696745e+119
-1.354635501988665e+129

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321
13321

end0.0ms

sample1.0s

Algorithm
intervals
Results
456.0ms7331×body80valid
116.0ms503×body640valid
83.0ms266×body1280valid
67.0ms388×body320valid
27.0ms224×body160valid
10.0ms28×body2560valid