Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms285×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
9.7b
(/ (* (- 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:
11.0ms
(+ x (/ (* (- y z) t) (- a z)))
10.0ms
(* (- y z) t)
10.0ms
(/ (* (- y z) t) (- a z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
64.0ms
(/ (* (- y z) t) (- a z))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite81.0ms

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:
8.0ms
(/ (- a z) t)
42.0ms
(+ x (/ (- y z) (/ (- a z) t)))
18.0ms
(/ (- y z) (/ (- a z) t))

series194.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
73.0ms
(+ x (/ (- y z) (/ (- a z) t)))
94.0ms
(/ (- y z) (/ (- a z) t))

simplify77.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07791717
129861664
250011664

prune458.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y z) (- a z)) t))
0.0b
(/ (- y z) (- a z))
1.7b
(* (/ (- y z) (- a z)) t)

rewrite45.0ms

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))
26.0ms
(* (/ (- y z) (- a z)) t)

series223.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* (/ (- y z) (- a z)) t))
52.0ms
(/ (- y z) (- a z))
96.0ms
(* (/ (- y z) (- a z)) t)

simplify48.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0432753
11363710
25001709

prune269.0ms

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

rewrite39.0ms

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:
2.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
25.0ms
(* (- y z) (/ t (- a z)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (* (- y z) (/ t (- a z))))
33.0ms
(/ t (- a z))
62.0ms
(* (- y z) (/ t (- a z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0365574
11604535
25002535

prune236.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

-15.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.3b

bsearch48.0ms

Steps
ItersRangePoint
8
7.932215114890528e-63
4.740051414146628e-60
6.581892355164269e-62
2
1.8594734774445244e-208
2.190998491878282e-208
2.138652329268847e-208

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample523.0ms

Algorithm
intervals
Results
268.0ms8767×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid