Details

Time bar (total: 7.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms268×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize17.0ms

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)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×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 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
5.0ms
(+ x (/ (* y z) t))
3.0ms
(/ (* y z) t)
3.0ms
(/ (* y b) t)
36.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ x (/ (* y z) t))
23.0ms
(/ (* y z) t)
22.0ms
(/ (* y b) t)
113.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0472881
12005817
25001797

prune411.0ms

Filtered
124 candidates to 86 candidates (69.4%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.2b

localize16.0ms

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)))

rewrite66.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u 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 → 140
Calls
4 calls:
1.0ms
(cbrt t)
26.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.0ms
(/ (* y b) t)
31.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
52.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms
(/ (* y b) t)
297.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07511615
137681397
250021319

prune604.0ms

Filtered
152 candidates to 111 candidates (73.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.6b

localize16.0ms

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))))

rewrite98.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 189
Calls
4 calls:
1.0ms
(cbrt t)
25.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms
(/ y (/ t b))
59.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt t)
49.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
26.0ms
(/ y (/ t b))
305.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify127.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
09621982
146441732
250011723

prune870.0ms

Filtered
201 candidates to 162 candidates (80.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.9b

localize18.0ms

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)))))

rewrite160.0ms

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×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u 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 → 198
Calls
4 calls:
1.0ms
(cbrt t)
28.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms
(/ y (/ t b))
117.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt t)
56.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms
(/ y (/ t b))
308.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ y (/ t b)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
010922015
150011731

prune854.0ms

Filtered
210 candidates to 167 candidates (79.5%)
Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 10.9b

regimes883.0ms

Accuracy

51% (3.0b remaining)

Error of 12.9b against oracle of 9.9b and baseline of 16.1b

bsearch158.0ms

Steps
ItersRangePoint
9
4.954672735438799e-14
1.2306973617873317e-06
1.599714736526996e-07
10
-2.1194127942691702e+17
-33514344.933988083
-453438913939.1045

simplify9.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05131
15131

end0.0ms

sample655.0ms

Algorithm
intervals
Results
357.0ms8289×body80valid