Details

Time bar (total: 6.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.3b
(/ (* y (- z x)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series127.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
52.0ms
(/ (* y (- z x)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
37.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt t)
186.0ms
(cbrt t)
177.0ms
(cbrt t)
96.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune375.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
3.4b
(* (/ y (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ (- z x) (cbrt t)))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-sqr-sqrt
43×cbrt-prod
41×*-un-lft-identity
35×times-frac
34×associate-*r*
30×add-cbrt-cube
29×add-cube-cbrt
22×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
213.0ms
(* (/ y (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ (- z x) (cbrt t)))

series832.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (cbrt t))
239.0ms
(cbrt (cbrt t))
255.0ms
(cbrt (cbrt t))
95.0ms
(* (/ y (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ (- z x) (cbrt t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06011735
133241234
250011116

prune429.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (/ y (cbrt t)) (/ (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))) (pow (cbrt (cbrt t)) 3)))
1.7b
(cbrt (/ (- z x) (cbrt t)))
1.7b
(cbrt (/ (- z x) (cbrt t)))
1.7b
(cbrt (/ (- z x) (cbrt t)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
201×cbrt-prod
181×add-sqr-sqrt
174×times-frac
112×*-un-lft-identity
76×add-cube-cbrt
53×add-exp-log
28×associate-*r*
27×unswap-sqr
22×associate-*l*
20×prod-exp
19×div-exp
18×unpow-prod-down cube-prod add-cbrt-cube distribute-lft-out-- difference-of-squares
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×div-inv
4×pow-to-exp pow-exp add-log-exp sqr-pow
3×cbrt-div pow1/3
1×cube-mult frac-times unpow3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 238
Calls
4 calls:
74.0ms
(* (/ y (cbrt t)) (/ (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))) (pow (cbrt (cbrt t)) 3)))
4.0ms
(cbrt (/ (- z x) (cbrt t)))
5.0ms
(cbrt (/ (- z x) (cbrt t)))
5.0ms
(cbrt (/ (- z x) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
348.0ms
(* (/ y (cbrt t)) (/ (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))) (pow (cbrt (cbrt t)) 3)))
284.0ms
(cbrt (/ (- z x) (cbrt t)))
270.0ms
(cbrt (/ (- z x) (cbrt t)))
272.0ms
(cbrt (/ (- z x) (cbrt t)))

simplify120.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08723489
147753222
250013207

prune971.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

17.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.8b

bsearch103.0ms

Steps
ItersRangePoint
9
8.483834686934382e+102
4.224606621740393e+109
4.223539940517158e+104
8
-5.505921774596563e-307
1.7693602656524167e-306
-1.5780894345497065e-307

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04437
14837
24937
34937

end0.0ms

sample755.0ms

Algorithm
intervals
Results
476.0ms10571×body80valid