Details

Time bar (total: 5.7s)

sample37.0ms

Algorithm
intervals
Results
23.0ms262×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.2b
(/ (* y b) t)
5.3b
(/ (* y z) t)
11.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite61.0ms

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:
16.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
35.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (+ a 1.0) (/ (* y b) t))
19.0ms
(/ (* y b) t)
21.0ms
(/ (* y z) t)
96.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0469909
12102841
25001841

prune321.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.2b
(/ (* y b) t)
4.3b
(/ y (/ t z))
11.9b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
98×times-frac
59×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
9×add-log-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp
5×flip3-+ associate-/r/ flip-+
4×pow1 frac-add
3×frac-2neg clear-num sum-log
2×associate-/l/
1×+-commutative associate-+l+ prod-exp cbrt-unprod
Counts
4 → 155
Calls
4 calls:
16.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
5.0ms
(/ y (/ t z))
75.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (+ a 1.0) (/ (* y b) t))
18.0ms
(/ (* y b) t)
18.0ms
(/ y (/ t z))
228.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06751274
128751201
250011201

prune641.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (* y (/ b t)))
4.3b
(/ y (/ t z))
4.8b
(* y (/ b t))
11.9b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
16×add-exp-log associate-/r* add-cbrt-cube
13×associate-*r*
9×add-log-exp
7×div-inv associate-/l*
6×pow1
5×cbrt-undiv flip3-+ associate-*r/ div-exp associate-/r/ flip-+
4×frac-add distribute-lft-out
3×associate-*l* sum-log
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ unswap-sqr
1×+-commutative associate-+l+ pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
14.0ms
(+ (+ a 1.0) (* y (/ b t)))
5.0ms
(/ y (/ t z))
7.0ms
(* y (/ b t))
68.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series307.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (+ a 1.0) (* y (/ b t)))
22.0ms
(/ y (/ t z))
18.0ms
(* y (/ b t))
224.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify101.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07341214
132181141
250011140

prune474.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.7b
(* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t))))
4.3b
(/ y (/ t z))
11.9b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t)))) (/ (cbrt b) (cbrt t)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
66×*-un-lft-identity
61×add-sqr-sqrt
58×add-cube-cbrt
29×add-exp-log
21×add-cbrt-cube
16×associate-/r*
9×prod-exp associate-/r/ cbrt-unprod
8×cbrt-undiv div-exp
7×associate-*r/ div-inv associate-/l*
6×pow1 frac-add
5×flip3-+ associate-*r* flip-+
4×distribute-lft-out add-log-exp
3×cbrt-prod associate-*l*
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/ unswap-sqr
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt t)
21.0ms
(* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t))))
5.0ms
(/ y (/ t z))
71.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t)))) (/ (cbrt b) (cbrt t)))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
77.0ms
(* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t))))
18.0ms
(/ y (/ t z))
226.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (* y (/ (* (cbrt b) (cbrt b)) (* (cbrt t) (cbrt t)))) (/ (cbrt b) (cbrt t)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08981995
140931766
250021732

prune619.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.7b

regimes385.0ms

Accuracy

42.7% (3.2b remaining)

Error of 13.4b against oracle of 10.2b and baseline of 15.8b

bsearch124.0ms

Steps
ItersRangePoint
4
3.011167745727374e-31
5.42196901314243e-31
3.481409033698228e-31
9
-5.47909250675064e-122
-6.379120773111166e-131
-2.701512089379426e-122

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04121
14121

end0.0ms

sample1.1s

Algorithm
intervals
Results
771.0ms8260×body80valid