Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
9.6b
(/ (* (- 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))

series162.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (/ (* (- y z) t) (- a z)))
27.0ms
(* (- y z) t)
63.0ms
(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
11.1b
(* (- y z) (/ t (- a z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×associate-*r*
20×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
26.0ms
(* (- y z) (/ t (- a z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ x (* (- y z) (/ t (- a z))))
59.0ms
(* (- y z) (/ t (- a z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0335386
11470357
25001357

prune161.0ms

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)))
11.7b
(/ (- y z) (/ (- a z) t))

rewrite78.0ms

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:
7.0ms
(/ (- a z) t)
44.0ms
(+ x (/ (- y z) (/ (- a z) t)))
15.0ms
(/ (- y z) (/ (- a z) t))

series191.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- a z) t)
71.0ms
(+ x (/ (- y z) (/ (- a z) t)))
93.0ms
(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07791717
129861664
250011664

prune447.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y z) (- a z)) t))
0.0b
(/ (- y z) (- a z))
2.1b
(* (/ (- y z) (- a z)) t)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* (/ (- y z) (- a z)) t))
11.0ms
(/ (- y z) (- a z))
28.0ms
(* (/ (- y z) (- a z)) t)

series208.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ x (* (/ (- y z) (- a z)) t))
47.0ms
(/ (- y z) (- a z))
92.0ms
(* (/ (- y z) (- a z)) t)

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0432753
11363710
25001709

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

55.4% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.5b

bsearch72.0ms

Steps
ItersRangePoint
8
8.960216897759224e-180
6.586620034581563e-177
1.4544374576309206e-179
8
-5.02056594325241e-31
-4.740090428273365e-35
-4.2229447103465506e-32

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample530.0ms

Algorithm
intervals
Results
272.0ms8772×body80valid
0.0ms1×body640valid