Details

Time bar (total: 6.8s)

sample22.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.4b
(/ x (/ (* z (- y t)) 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
25.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* z (- y t))
41.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0433735
11861559
25001556

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.2b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
17.0ms
(/ x (/ (- y t) 2.0))
60.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
40.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09191696
142841528
250011521

prune727.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(* (cbrt (- y t)) (cbrt (- y t)))
3.1b
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
190×add-sqr-sqrt
136×*-un-lft-identity
129×add-exp-log
97×associate-*r*
96×add-cube-cbrt
87×cbrt-prod
63×div-exp
56×add-cbrt-cube
40×prod-exp
33×cbrt-undiv associate-*l*
28×cbrt-div
22×cbrt-unprod
20×unswap-sqr
17×distribute-lft-out--
15×difference-of-squares
14×flip3-- flip--
13×pow1
10×swap-sqr
9×frac-times associate-/r/
8×pow1/3
6×rec-exp 1-exp div-inv
5×associate-*r/ associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 278
Calls
4 calls:
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
36.0ms
(* (cbrt (- y t)) (cbrt (- y t)))
144.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (- y t))
128.0ms
(cbrt (- y t))
111.0ms
(* (cbrt (- y t)) (cbrt (- y t)))
86.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015453656
150013309

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.1b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
15.0ms
(/ x (/ (- y t) 2.0))
38.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series100.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (/ (- y t) 2.0))
72.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013633876
150013759

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

46.7% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 4.9b

bsearch90.0ms

Steps
ItersRangePoint
7
1.5172014255675879e-96
2.4808664485603598e-95
1.174723309752771e-95
10
-7.009939759357863e+71
-8.79788754328286e+52
-1.5856891009845858e+54

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample493.0ms

Algorithm
intervals
Results
273.0ms8732×body80valid