Details

Time bar (total: 6.0s)

sample25.0ms

Algorithm
intervals
Results
7.0ms221×body80valid
2.0ms21×body640valid
2.0ms18×body320valid
1.0ms9×body1280valid
0.0ms8×body160valid

simplify113.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
3.0b
(- (+ x y) (/ (* (- z t) y) (- a t)))
13.8b
(/ (* (- z t) y) (- a t))

rewrite26.0ms

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:
6.0ms
(* (- z t) y)
10.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series196.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- z t) y)
105.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
62.0ms
(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune193.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
5.2b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.0b
(/ (- z t) (/ (- a t) y))

rewrite65.0ms

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:
6.0ms
(/ (- a t) y)
34.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms
(/ (- z t) (/ (- a t) y))

series250.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- a t) y)
117.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
108.0ms
(/ (- z t) (/ (- a t) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08531851
133261798
250011798

prune516.0ms

Filtered
206 candidates to 138 candidates (67.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
12.0b
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (cbrt y))))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
73×times-frac
35×*-un-lft-identity
22×add-exp-log difference-of-squares
18×cbrt-prod add-cube-cbrt
14×add-cbrt-cube
9×cbrt-undiv div-exp add-log-exp
8×distribute-lft-out--
7×div-inv
5×associate-/r* associate-/l*
4×pow1 prod-exp cbrt-unprod
3×div-sub
2×flip3-- pow1/3 diff-log frac-sub flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ associate--l+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
17.0ms
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
394.0ms
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (cbrt y))))

series752.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
194.0ms
(cbrt y)
220.0ms
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
166.0ms
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (cbrt y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08272327
131312033
250011956

prune506.0ms

Filtered
128 candidates to 100 candidates (78.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
12.0b
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×times-frac
35×*-un-lft-identity
22×add-exp-log
18×add-cube-cbrt
14×add-cbrt-cube
10×difference-of-squares
9×cbrt-undiv div-exp add-log-exp
8×distribute-lft-out--
7×div-inv
6×cbrt-prod
5×associate-/r* associate-/l*
4×pow1 prod-exp cbrt-unprod
3×div-sub
2×flip3-- pow1/3 diff-log frac-sub flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ associate--l+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
17.0ms
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
103.0ms
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))

series751.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
179.0ms
(cbrt y)
229.0ms
(/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y))))
165.0ms
(- (+ x y) (/ (/ (- z t) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt y) (cbrt y)))) (/ (cbrt (- a t)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07192083
129161769
250021700

prune481.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

regimes370.0ms

Accuracy

16.4% (5.6b remaining)

Error of 9.8b against oracle of 4.1b and baseline of 10.9b

bsearch191.0ms

Steps
ItersRangePoint
9
5.626851840133403e-176
4.555624489948066e-169
2.294577606973049e-174
7
-3.374737517175362e-218
-5.331545171723851e-220
-4.1756170290988795e-219
9
-1.800331457952129e-174
-1.2520203818074676e-180
-4.160556273830199e-180
10
-6.229584569994394e+92
-8.098337976638825e+79
-5.243278449566543e+80

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05750
15750

end0.0ms

sample662.0ms

Algorithm
intervals
Results
245.0ms7347×body80valid
55.0ms472×body640valid
42.0ms418×body320valid
32.0ms213×body1280valid
15.0ms245×body160valid
6.0ms20×body2560valid