Details

Time bar (total: 7.9s)

sample28.0ms

Algorithm
intervals
Results
10.0ms270×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.2b
(/ (* y b) t)
5.3b
(/ (* y z) t)
12.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
26×times-frac
24×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 frac-add associate-/r/
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 106
Calls
4 calls:
30.0ms
(+ (+ a 1.0) (/ (* y b) t))
9.0ms
(/ (* y b) t)
9.0ms
(/ (* y z) t)
66.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (+ a 1.0) (/ (* y b) t))
20.0ms
(/ (* y b) t)
20.0ms
(/ (* y z) t)
107.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0469909
12102841
25001841

prune298.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.3b
(/ (* y z) t)
12.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×times-frac
39×*-un-lft-identity
32×add-exp-log
31×add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-*l*
6×pow1 frac-add associate-/r* unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×div-inv distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
40.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
9.0ms
(/ (* y z) t)
61.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
51.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
19.0ms
(/ (* y z) t)
135.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07851567
139741374
250011332

prune477.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.7b
(/ y (/ t z))
12.6b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
87×add-sqr-sqrt
79×*-un-lft-identity
71×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/r*
14×cbrt-prod
11×cbrt-undiv div-exp
9×associate-/r/
8×prod-exp cbrt-unprod div-inv
7×associate-*l* associate-/l*
6×pow1 frac-add unswap-sqr
5×flip3-+ flip-+
4×distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 181
Calls
4 calls:
1.0ms
(cbrt t)
42.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
8.0ms
(/ y (/ t z))
93.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt t)
53.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
20.0ms
(/ y (/ t z))
285.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09851932
147491714
250011698

prune716.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.0b

localize26.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))) (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
11.3b
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
126×frac-add
106×frac-times
85×flip3-+ flip-+
80×associate-/r/
50×associate-*r/ associate-*l/
13×*-un-lft-identity
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt
7×add-cbrt-cube
4×pow1 times-frac associate-/l* add-log-exp
3×pow1/3
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 162
Calls
4 calls:
75.0ms
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))) (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))))
15.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
18.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
15.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))) (cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))))
211.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
185.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
186.0ms
(cbrt (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
08025003
120934832
250014809

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.8b

regimes531.0ms

Accuracy

48.5% (3.3b remaining)

Error of 13.1b against oracle of 9.8b and baseline of 16.3b

bsearch136.0ms

Steps
ItersRangePoint
10
1468896837945.3984
1.5496417575736523e+22
8.626499049516152e+20
9
-8.73241971315363e+64
-2.4553356472806627e+56
-5.53579510033609e+58

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05033
15033

end0.0ms

sample707.0ms

Algorithm
intervals
Results
333.0ms8260×body80valid