Details

Time bar (total: 3.0s)

sample28.0ms

Algorithm
intervals
Results
16.0ms326×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.3b
(/ (* y (- z x)) t)

rewrite25.0ms

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:
12.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z x))
37.0ms
(+ x (/ (* y (- z x)) t))
48.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune128.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.0b
(+ x (/ y (/ t (- z x))))
4.8b
(/ y (/ t (- z x)))

rewrite51.0ms

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:
5.0ms
(/ t (- z x))
27.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ t (- z x))
37.0ms
(+ x (/ y (/ t (- z x))))
53.0ms
(/ y (/ t (- z x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05391150
123681110
250011107

prune345.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.1b
(* (/ y t) (- z x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
15.0ms
(* (/ y t) (- z x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (/ y t) (- z x)))
55.0ms
(* (/ y t) (- z x))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune126.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (/ y t) (- z x))
6.9b
(cbrt (* (/ y t) (- z x)))
6.9b
(cbrt (* (/ y t) (- z x)))
6.9b
(cbrt (* (/ y t) (- z x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×associate-*l/ add-log-exp
3×cbrt-prod pow1/3
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
15.0ms
(* (/ y t) (- z x))
5.0ms
(cbrt (* (/ y t) (- z x)))
5.0ms
(cbrt (* (/ y t) (- z x)))
5.0ms
(cbrt (* (/ y t) (- z x)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ y t) (- z x))
119.0ms
(cbrt (* (/ y t) (- z x)))
120.0ms
(cbrt (* (/ y t) (- z x)))
126.0ms
(cbrt (* (/ y t) (- z x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0335615
11216560
25001554

prune285.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample822.0ms

Algorithm
intervals
Results
541.0ms10722×body80valid