Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series132.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune151.0ms

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

rewrite23.0ms

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 flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 88
Calls
3 calls:
3.0ms
(- x (* y (/ (- z t) a)))
6.0ms
(/ (- z t) a)
12.0ms
(* y (/ (- z t) a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (* y (/ (- z t) a)))
26.0ms
(/ (- z t) a)
46.0ms
(* y (/ (- z t) a))

simplify43.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336506
11388473
25001461

prune216.0ms

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))

rewrite40.0ms

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))
25.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) a))

series476.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- z t))
145.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z t))
41.0ms
(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) a))

simplify78.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06011288
127061155
250021099

prune389.0ms

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)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
24.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05511200
123711160
250011157

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes311.0ms

Accuracy

88.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.2b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820

end0.0ms

sample650.0ms

Algorithm
intervals
Results
313.0ms10667×body80valid