Details

Time bar (total: 5.0s)

sample24.0ms

Algorithm
intervals
Results
10.0ms263×body80valid

simplify10.0ms

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: 14.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.7b
(/ (* y z) t)
5.3b
(/ (* y b) t)
11.2b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite65.0ms

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:
17.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
37.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (+ a 1.0) (/ (* y b) t))
17.0ms
(/ (* y z) t)
22.0ms
(/ (* y b) t)
98.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0469909
12102841
25001841

prune337.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.7b
(/ (* y z) t)
11.2b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite67.0ms

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)
26.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.0ms
(/ (* y z) t)
32.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
53.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
18.0ms
(/ (* y z) t)
141.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07851567
139741374
250011332

prune485.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
1.3b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
4.7b
(/ (* y z) t)
11.2b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
97×times-frac
92×add-exp-log
65×cbrt-prod
64×*-un-lft-identity
56×add-cube-cbrt
50×associate-*l*
48×add-cbrt-cube
37×prod-exp cbrt-unprod
29×cbrt-undiv div-exp
23×associate-*r*
16×frac-times associate-*r/ associate-/r/
15×unswap-sqr
14×frac-add
11×pow1
10×associate-*l/
9×flip3-+ flip-+
6×associate-/r*
5×div-inv associate-/l*
4×pow-prod-down distribute-lft-out add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 225
Calls
4 calls:
36.0ms
(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
41.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
3.0ms
(/ (* y z) t)
36.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
22.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
18.0ms
(/ (* y z) t)
104.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012113264
150012887

prune918.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ t (* y z)))
4.5b
(/ t (* y z))
5.3b
(/ (* y b) t)
11.2b
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
64×times-frac
37×add-exp-log
36×add-sqr-sqrt add-cube-cbrt
30×distribute-lft-out
25×add-cbrt-cube
17×div-exp
16×associate-/r*
14×div-inv
12×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×frac-2neg clear-num add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 151
Calls
4 calls:
7.0ms
(/ 1 (/ t (* y z)))
3.0ms
(/ t (* y z))
3.0ms
(/ (* y b) t)
61.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1 (/ t (* y z)))
18.0ms
(/ t (* y z))
19.0ms
(/ (* y b) t)
127.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify100.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05841229
126991115
250021075

prune329.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.6b

regimes377.0ms

Accuracy

25.4% (3.9b remaining)

Error of 15.0b against oracle of 11.1b and baseline of 16.3b

bsearch93.0ms

Steps
ItersRangePoint
9
2.039381494979652e-137
1.1665969266760827e-129
3.2395862436323592e-134
5
-8934865.5420102
-3837616.842324
-7447485.110140155

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05131
15131

end0.0ms

sample627.0ms

Algorithm
intervals
Results
347.0ms8313×body80valid