Details

Time bar (total: 6.6s)

sample28.0ms

Algorithm
intervals
Results
17.0ms272×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite29.0ms

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:
13.0ms
(* z (- y t))
7.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series126.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* z (- y t))
50.0ms
(/ (* z (- y t)) 2.0)
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413592
11829518
25002515

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (/ x z) (/ (- y t) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
16.0ms
(/ (/ x z) (/ (- y t) 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015643639
150013548

prune726.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- y t) 2.0))
4.3b
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
245×times-frac
187×add-sqr-sqrt
158×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
58×add-exp-log
28×div-exp add-cbrt-cube
21×distribute-lft-out-- difference-of-squares
19×associate-/r*
14×prod-exp
13×associate-*l*
12×cbrt-undiv
10×div-inv unswap-sqr
6×rec-exp 1-exp cbrt-unprod
5×pow1
3×associate-/l*
2×associate-/r/ add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 218
Calls
2 calls:
9.0ms
(/ 1 (/ (- y t) 2.0))
47.0ms
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (/ (- y t) 2.0))
47.0ms
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

simplify89.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09001711
143811468
250011291

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (/ (- y t) 2.0) (/ x z)))
4.2b
(/ (/ (- y t) 2.0) (/ x z))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
3845×times-frac
1921×add-sqr-sqrt *-un-lft-identity
1525×add-cube-cbrt
265×associate-/r*
198×distribute-lft-out-- difference-of-squares
168×div-inv
58×add-exp-log
42×div-exp
32×add-cbrt-cube
22×associate-/l*
21×cbrt-undiv
6×associate-/r/
5×rec-exp 1-exp
3×pow1
2×frac-2neg div-sub clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 1344
Calls
2 calls:
63.0ms
(/ 1 (/ (/ (- y t) 2.0) (/ x z)))
18.0ms
(/ (/ (- y t) 2.0) (/ x z))

series368.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ 1 (/ (/ (- y t) 2.0) (/ x z)))
252.0ms
(/ (/ (- y t) 2.0) (/ x z))

simplify247.0ms

Algorithm
egg-herbie
Counts
1350 → 1350
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
0454119114
1500318554

prune2.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

62.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.9b

bsearch76.0ms

Steps
ItersRangePoint
7
231.08097083698556
14520.350903362307
2713.6534281564946
7
-1352774631687071.2
-9531903230471.172
-1133642082614431.2

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample782.0ms

Algorithm
intervals
Results
560.0ms8698×body80valid