Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
6.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
10.0ms
(* z (- y t))
6.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* z (- y t))
50.0ms
(/ (* z (- y t)) 2.0)
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413592
11829518
25002515

prune215.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

5.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
103×add-sqr-sqrt
76×*-un-lft-identity
62×associate-*r*
55×add-cube-cbrt
40×add-exp-log
22×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-unprod
5×div-inv
3×pow1 rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative add-log-exp
Counts
1 → 114
Calls
1 calls:
43.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0758903
13639763
25001756

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (- y t) 2.0))
0.6b
(cbrt (/ (- y t) 2.0))
0.6b
(cbrt (/ (- y t) 2.0))
1.3b
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
62×add-sqr-sqrt *-un-lft-identity
57×cbrt-prod
44×add-cube-cbrt
22×add-exp-log
19×cbrt-div
14×add-cbrt-cube
12×associate-/r/
9×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
8×div-inv associate-/l*
4×pow1 frac-times associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 140
Calls
4 calls:
3.0ms
(cbrt (/ (- y t) 2.0))
3.0ms
(cbrt (/ (- y t) 2.0))
3.0ms
(cbrt (/ (- y t) 2.0))
18.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) z)

series1.2s

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt (/ (- y t) 2.0))
212.0ms
(cbrt (/ (- y t) 2.0))
219.0ms
(cbrt (/ (- y t) 2.0))
551.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06141731
122941567
250011533

prune533.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
4.4b
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
169×add-sqr-sqrt
127×add-exp-log
117×*-un-lft-identity
89×add-cube-cbrt associate-*r*
64×cbrt-prod
63×div-exp
56×add-cbrt-cube
39×prod-exp
33×cbrt-undiv
25×associate-*l*
21×cbrt-unprod
18×cbrt-div
16×unswap-sqr
12×distribute-lft-out-- difference-of-squares
9×flip3-- associate-/r/ flip--
6×pow1 rec-exp 1-exp div-inv
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 229
Calls
4 calls:
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
107.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y t))
147.0ms
(cbrt (- y t))
150.0ms
(cbrt (- y t))
98.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014333274
150012930

prune705.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

-50.5% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 1.8b

bsearch88.0ms

Steps
ItersRangePoint
9
3.366560557353129e+171
5.949746320374238e+177
3.405670072550165e+171
8
-1.0101179900210136e-52
-2.014296322004075e-57
-8.826389636255705e-53

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03629
13629

end0.0ms

sample492.0ms

Algorithm
intervals
Results
264.0ms8748×body80valid