Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:
6.0ms
(/ (* z (- y t)) 2.0)
10.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (* z (- y t)) 2.0)
38.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413592
11829518
25002515

prune220.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite64.0ms

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))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (/ (- y t) 2.0))
43.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09151676
142801508
250011501

prune446.0ms

Filtered
214 candidates to 150 candidates (70.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
3.7b
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

rewrite125.0ms

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))
105.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- y t))
143.0ms
(cbrt (- y t))
152.0ms
(cbrt (- y t))
95.0ms
(* (/ (/ 1 z) (* (cbrt (- y t)) (cbrt (- y t)))) (/ x (/ (cbrt (- y t)) 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014333274
150012930

prune692.0ms

Filtered
241 candidates to 178 candidates (73.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ (/ 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:
15.0ms
(/ (/ x z) (/ (- y t) 2.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015643639
150013548

prune726.0ms

Filtered
302 candidates to 217 candidates (71.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

33.4% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 4.9b

bsearch86.0ms

Steps
ItersRangePoint
9
1.9821308391676102e-213
1.2772362943471988e-207
1.2625555483643108e-207
9
-4.899118709352119e+49
-2.424593660798281e+42
-5.698013634837798e+44

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample483.0ms

Algorithm
intervals
Results
264.0ms8683×body80valid