Details

Time bar (total: 4.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms260×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.2b
(/ (* y z) t)
4.7b
(/ (* y b) t)
12.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
4.0ms
(+ x (/ (* y z) t))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
32.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (/ (* y z) t))
17.0ms
(/ (* y z) t)
22.0ms
(/ (* y b) t)
96.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0454843
11942782
25001782

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ t (* y z)))
4.4b
(/ t (* y z))
4.7b
(/ (* y b) t)
12.4b
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite74.0ms

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:
6.0ms
(/ 1 (/ t (* y z)))
3.0ms
(/ t (* y z))
3.0ms
(/ (* y b) t)
56.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1 (/ t (* y z)))
18.0ms
(/ t (* y z))
21.0ms
(/ (* y b) t)
170.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05841229
126991115
250021075

prune326.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ t (* y z)))
4.4b
(/ t (* y z))
4.7b
(/ t (* y b))
12.4b
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
74×times-frac
52×distribute-lft-out
38×add-sqr-sqrt add-cube-cbrt
37×add-exp-log
28×div-inv
25×add-cbrt-cube
17×div-exp
16×associate-/r*
14×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 → 163
Calls
4 calls:
6.0ms
(/ 1 (/ t (* y z)))
4.0ms
(/ t (* y z))
3.0ms
(/ t (* y b))
70.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1 (/ t (* y z)))
18.0ms
(/ t (* y z))
20.0ms
(/ t (* y b))
121.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05801451
126251291
250011284

prune348.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 11.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
2.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.2b
(/ (* y z) t)
12.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite59.0ms

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:
0.0ms
(cbrt t)
23.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.0ms
(/ (* y z) t)
28.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
52.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
18.0ms
(/ (* y z) t)
133.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07851567
139741374
250011332

prune431.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.8b

regimes320.0ms

Accuracy

57.4% (2.7b remaining)

Error of 13.0b against oracle of 10.3b and baseline of 16.6b

bsearch49.0ms

Steps
ItersRangePoint
6
8.387957451131944e+98
5.935761658426629e+99
8.508552178145803e+98
1
-1.0956005585287143e-15
-9.97186842010697e-16
-1.0217902711402013e-15

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04823
14823

end0.0ms

sample633.0ms

Algorithm
intervals
Results
340.0ms8271×body80valid