Details

Time bar (total: 5.4s)

sample24.0ms

Algorithm
intervals
Results
7.0ms235×body80valid
1.0ms10×body1280valid
1.0ms12×body640valid
1.0ms14×body320valid
1.0ms14×body160valid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.9b
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.6b
(/ (* (- z t) y) (- a t))

rewrite50.0ms

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)
28.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series199.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
110.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
62.0ms
(/ (* (- z t) y) (- a t))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune212.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
1.8b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.1b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
54×*-un-lft-identity
50×cbrt-prod
38×associate-*r*
36×times-frac
30×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
11×frac-times distribute-lft-out--
10×swap-sqr associate-/r/ unswap-sqr
9×prod-exp cbrt-unprod add-log-exp difference-of-squares
7×cbrt-undiv pow1/3 associate-*r/ div-exp associate-*l/
6×frac-sub
3×flip3-+ pow-prod-down flip-+
2×diff-log pow-sqr *-commutative pow-prod-up div-inv
1×pow2 sub-neg pow-plus associate--l+ sum-log
Counts
4 → 168
Calls
4 calls:
2.0ms
(cbrt (- a t))
23.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
67.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
19.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a t))
125.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
98.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
112.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08862068
143261890
250011779

prune592.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
8.6b
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×frac-sub
10×frac-times associate-*l/
9×cbrt-prod add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
6×associate-*r/
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×diff-log
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
20.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
172.0ms
(cbrt y)
169.0ms
(cbrt y)
167.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify62.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04171304
117791236
250021224

prune404.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.7b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
4.7b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt frac-times *-un-lft-identity associate-*r/
14×associate-*l* frac-sub
9×pow1 add-cube-cbrt associate-*l/ add-log-exp
8×times-frac
7×flip3-+ flip-+
6×cbrt-div
4×flip3-- flip--
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3 diff-log associate-/r/
1×sub-neg associate-*r* associate--l+ sum-log *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
4.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
83.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
21.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- z t))
154.0ms
(cbrt (- z t))
100.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
114.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify96.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07962499
130822071
250011925

prune384.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.1b

regimes486.0ms

Accuracy

40.7% (4.6b remaining)

Error of 8.4b against oracle of 3.8b and baseline of 11.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03428
13428

end0.0ms

sample639.0ms

Algorithm
intervals
Results
240.0ms7365×body80valid
52.0ms460×body640valid
41.0ms287×body1280valid
33.0ms383×body320valid
13.0ms223×body160valid
4.0ms21×body2560valid