Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms269×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
9.2b
(/ (* (- y z) t) (- a z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(+ x (/ (* (- y z) t) (- a z)))
10.0ms
(* (- y z) t)
10.0ms
(/ (* (- y z) t) (- a z))

series172.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
66.0ms
(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune168.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ x (* (- y z) (/ t (- a z))))
10.4b
(* (- y z) (/ t (- a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ t (- a z))
2.0ms
(+ x (* (- y z) (/ t (- a z))))
24.0ms
(* (- y z) (/ t (- a z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- a z))
76.0ms
(+ x (* (- y z) (/ t (- a z))))
65.0ms
(* (- y z) (/ t (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365574
11604535
25002535

prune239.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
10.7b
(/ (- y z) (/ (- a z) t))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
46.0ms
(+ x (/ (- y z) (/ (- a z) t)))
7.0ms
(/ (- a z) t)
15.0ms
(/ (- y z) (/ (- a z) t))

series200.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (/ (- y z) (/ (- a z) t)))
26.0ms
(/ (- a z) t)
97.0ms
(/ (- y z) (/ (- a z) t))

simplify73.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07791717
129861664
250011664

prune454.0ms

Filtered
197 candidates to 133 candidates (67.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
8.9b
(* (* (* (cbrt t) (cbrt t)) (- y z)) (/ (cbrt t) (- a z)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity associate-*r*
30×times-frac
25×add-exp-log
24×cbrt-prod add-cube-cbrt
18×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down distribute-lft-out-- difference-of-squares
5×associate-*r/
4×add-log-exp
3×cbrt-undiv flip3-- pow1/3 div-exp flip--
2×frac-times associate-*l/ associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
65.0ms
(* (* (* (cbrt t) (cbrt t)) (- y z)) (/ (cbrt t) (- a z)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
187.0ms
(cbrt t)
177.0ms
(cbrt t)
90.0ms
(* (* (* (cbrt t) (cbrt t)) (- y z)) (/ (cbrt t) (- a z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0485886
12744683
25002642

prune303.0ms

Filtered
110 candidates to 81 candidates (73.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

21.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.2b

bsearch55.0ms

Steps
ItersRangePoint
8
3.328755718771708e-82
2.88446985509189e-78
2.8293427047513997e-78
3
-1.0757355298164138e+122
-8.271838301144247e+121
-8.427183113457991e+121

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

sample513.0ms

Algorithm
intervals
Results
262.0ms8701×body80valid