Details

Time bar (total: 6.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms268×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.3b
(/ (* y z) t)
5.9b
(/ (* y b) t)
13.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite50.0ms

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

series214.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (/ (* y z) t))
29.0ms
(/ (* y z) t)
30.0ms
(/ (* y b) t)
121.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0454843
11942782
25001782

prune326.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.9b
(/ (* y b) t)
13.3b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
0.0ms
(cbrt t)
26.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.0ms
(/ (* y b) t)
27.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt t)
48.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
19.0ms
(/ (* y b) t)
272.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify95.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07351561
137081358
250011310

prune500.0ms

Filtered
144 candidates to 101 candidates (70.1%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.6b
(/ y (/ t b))
13.3b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
92×*-un-lft-identity
88×add-sqr-sqrt
72×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
18×associate-/r*
14×cbrt-prod
12×distribute-lft-out
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/l* unswap-sqr
5×associate-/r/
4×add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 181
Calls
4 calls:
0.0ms
(cbrt t)
26.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms
(/ y (/ t b))
54.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
51.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
20.0ms
(/ y (/ t b))
283.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify117.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09461928
146031700
250021652

prune699.0ms

Filtered
193 candidates to 144 candidates (74.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.6b
(/ y (/ t b))
13.3b
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
95×add-sqr-sqrt
88×*-un-lft-identity
72×add-cube-cbrt
45×associate-*r*
39×add-exp-log
28×add-cbrt-cube
14×cbrt-prod
13×associate-/r*
12×div-exp prod-exp
11×cbrt-undiv
10×associate-*l* cbrt-unprod
9×distribute-lft-out unswap-sqr
8×pow1 div-inv
5×associate-/r/
4×flip3-+ flip-+ add-log-exp
3×frac-times associate-*l/ associate-/l*
2×associate-*r/ pow-prod-down frac-add *-commutative
1×rec-exp frac-2neg pow1/3 1-exp clear-num un-div-inv
Counts
4 → 190
Calls
4 calls:
0.0ms
(cbrt t)
25.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms
(/ y (/ t b))
112.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
57.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms
(/ y (/ t b))
281.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010751961
150011706

prune685.0ms

Filtered
202 candidates to 155 candidates (76.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.9b

regimes574.0ms

Accuracy

50.7% (3.1b remaining)

Error of 12.8b against oracle of 9.7b and baseline of 16.1b

bsearch140.0ms

Steps
ItersRangePoint
9
4.954672735438799e-14
1.2306973617873317e-06
4.015835495451602e-07
10
-2.1194127942691702e+17
-33514344.933988083
-462155825864.20703

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04823
14823

end0.0ms

sample824.0ms

Algorithm
intervals
Results
355.0ms8289×body80valid