Details

Time bar (total: 5.1s)

sample18.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

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))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
12.0ms
(* z (- y t))
11.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
47.0ms
(/ (* z (- y t)) 2.0)
46.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0498867
12213667
25001667

prune246.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 116
Calls
1 calls:
46.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0760915
13641775
25001768

prune255.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)

rewrite38.0ms

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 expm1-log1p-u frac-times associate-*r/ associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 148
Calls
4 calls:
3.0ms
(cbrt (/ (- y t) 2.0))
4.0ms
(cbrt (/ (- y t) 2.0))
3.0ms
(cbrt (/ (- y t) 2.0))
21.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) z)

series1.2s

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (/ (- y t) 2.0))
223.0ms
(cbrt (/ (- y t) 2.0))
218.0ms
(cbrt (/ (- y t) 2.0))
547.0ms
(/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06231778
123201608
250021580

prune578.0ms

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)))

rewrite133.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 237
Calls
4 calls:
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
2.0ms
(cbrt (- y t))
111.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- y t))
157.0ms
(cbrt (- y t))
154.0ms
(cbrt (- y t))
98.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014413318
150022977

prune709.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

-50.5% (2.7b remaining)

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

bsearch79.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03629
13629

end0.0ms

sample482.0ms

Algorithm
intervals
Results
269.0ms8748×body80valid