Details

Time bar (total: 5.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.7b
(/ x (/ (* z (- y t)) 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod 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 → 74
Calls
2 calls:
7.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0353467
11535417
25001414

prune174.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite52.0ms

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×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
31.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (/ (- y t) 2.0))
46.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09151676
142801508
250011501

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
71.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593858
150023741

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (- y t) 2.0) x)
0.3b
(/ 1 (/ (/ (- y t) 2.0) x))
5.3b
(* (/ 1 z) (/ 1 (/ (/ (- y t) 2.0) x)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
1256×times-frac
745×add-sqr-sqrt
685×*-un-lft-identity
519×add-cube-cbrt
188×associate-*r*
167×add-exp-log
98×div-exp
75×distribute-lft-out-- difference-of-squares
64×associate-/r*
49×add-cbrt-cube
40×prod-exp
36×div-inv
25×cbrt-undiv rec-exp 1-exp
22×associate-/l*
21×unswap-sqr
13×associate-*l*
8×pow1 cbrt-unprod
3×pow-flip pow-prod-down inv-pow add-log-exp
2×frac-2neg div-sub clear-num associate-/r/
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative associate-/l/
Counts
3 → 652
Calls
3 calls:
9.0ms
(/ (/ (- y t) 2.0) x)
16.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
73.0ms
(* (/ 1 z) (/ 1 (/ (/ (- y t) 2.0) x)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (/ (- y t) 2.0) x)
86.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
99.0ms
(* (/ 1 z) (/ 1 (/ (/ (- y t) 2.0) x)))

simplify111.0ms

Algorithm
egg-herbie
Counts
661 → 661
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
024656690
150016166

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

59.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.4b

bsearch80.0ms

Steps
ItersRangePoint
9
4.8972063271125986e-91
3.5191474153790645e-84
3.4734749516865268e-84
5
-1.1175269980520265e+35
-4.36626342910311e+34
-5.626078049724568e+34

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12711

end0.0ms

sample492.0ms

Algorithm
intervals
Results
282.0ms8726×body80valid