Details

Time bar (total: 3.5s)

sample24.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- 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* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(/ (* y (- z t)) a)

series138.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* y (- z t))
47.0ms
(+ x (/ (* y (- z t)) a))
52.0ms
(/ (* y (- z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune150.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
5.2b
(* y (/ (- z t) a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- z t) a)
3.0ms
(+ x (* y (/ (- z t) a)))
10.0ms
(* y (/ (- z t) a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- z t) a)
47.0ms
(+ x (* y (/ (- z t) a)))
49.0ms
(* y (/ (- z t) a))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0345498
11408465
25002453

prune212.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
3.6b
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
30×cbrt-prod cbrt-div
28×associate-*r* associate-*l/
25×add-exp-log
24×times-frac
22×add-cube-cbrt
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
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 pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
22.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) a))

series487.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- z t))
148.0ms
(cbrt (- z t))
148.0ms
(cbrt (- z t))
46.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06011288
127061155
250021099

prune417.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.4b
(/ y (/ a (- z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
19.0ms
(+ x (/ y (/ a (- z t))))
6.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ y (/ a (- z t))))
28.0ms
(/ a (- z t))
57.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05471150
123841110
250021107

prune403.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

91.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample627.0ms

Algorithm
intervals
Results
293.0ms10667×body80valid