Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms282×body80valid

simplify53.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) t)
0.0b
(+ x (/ (* (- y z) t) (- a z)))
11.3b
(/ (* (- y z) t) (- a z))

rewrite26.0ms

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:
6.0ms
(* (- y z) t)
9.0ms
(+ x (/ (* (- y z) t) (- a z)))
9.0ms
(/ (* (- y z) t) (- a z))

series163.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y z) t)
72.0ms
(+ x (/ (* (- y z) t) (- a z)))
61.0ms
(/ (* (- y z) t) (- a z))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune168.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ x (* (- y z) (/ t (- a z))))
10.8b
(* (- y z) (/ t (- a z)))

rewrite25.0ms

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))
3.0ms
(+ x (* (- y z) (/ t (- a z))))
13.0ms
(* (- y z) (/ t (- a z)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- a z))
73.0ms
(+ x (* (- y z) (/ t (- a z))))
65.0ms
(* (- y z) (/ t (- a z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0365574
11604535
25002535

prune250.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.0b
(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.2b
(* t (/ 1 (- a z)))
10.8b
(* (- y z) (* t (/ 1 (- a z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×associate-*l/ *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 128
Calls
4 calls:
6.0ms
(/ 1 (- a z))
3.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
10.0ms
(* t (/ 1 (- a z)))
13.0ms
(* (- y z) (* t (/ 1 (- a z))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1 (- a z))
70.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
30.0ms
(* t (/ 1 (- a z)))
66.0ms
(* (- y z) (* t (/ 1 (- a z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0445738
11858636
25001591

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ x (/ (- y z) (/ (- a z) t)))
12.0b
(/ (- y z) (/ (- a z) t))

rewrite56.0ms

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:
6.0ms
(/ (- a z) t)
28.0ms
(+ x (/ (- y z) (/ (- a z) t)))
11.0ms
(/ (- y z) (/ (- a z) t))

series196.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
72.0ms
(+ x (/ (- y z) (/ (- a z) t)))
97.0ms
(/ (- y z) (/ (- a z) t))

simplify80.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07791717
129861664
250011664

prune436.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

66.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.0b

bsearch68.0ms

Steps
ItersRangePoint
8
7.254603126169503e-72
3.935207622333976e-69
3.894025717218054e-69
6
-1.1944708931003182e-51
-1.441928321309463e-52
-2.8513781619655557e-52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03319
13319

end0.0ms

sample524.0ms

Algorithm
intervals
Results
268.0ms8711×body80valid
0.0ms1×body320valid