Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
14.1b
(/ (* y (- z t)) (- z a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
12.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series97.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
61.0ms
(/ (* y (- z t)) (- z a))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0267276
11217239
25001239

prune132.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.1b
(/ y (/ (- z a) (- z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- z a) (- z t))
17.0ms
(/ y (/ (- z a) (- z t)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z a) (- z t))
113.0ms
(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06301780
128431729
250031726

prune462.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- z t)) (/ a (- z t)))
0.0b
(/ z (- z t))
0.0b
(/ a (- z t))
1.1b
(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
51.0ms
(- (/ z (- z t)) (/ a (- z t)))
5.0ms
(/ z (- z t))
5.0ms
(/ a (- z t))
74.0ms
(/ y (- (/ z (- z t)) (/ a (- z t))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (/ z (- z t)) (/ a (- z t)))
45.0ms
(/ z (- z t))
29.0ms
(/ a (- z t))
101.0ms
(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05051604
118821554
250011538

prune511.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z t))
0.0b
(/ a (- z t))
0.2b
(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
1.2b
(/ (- (/ z (- z t)) (/ a (- z t))) y)

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
762×times-frac
658×*-un-lft-identity
498×add-sqr-sqrt
226×add-cube-cbrt
200×distribute-lft-out--
104×difference-of-squares
71×associate-/r*
69×associate-/r/
48×distribute-rgt-out--
40×div-inv
35×flip3-- flip--
27×associate-/l*
21×add-exp-log
15×add-cbrt-cube
10×div-exp
6×cbrt-undiv
5×pow1
4×frac-2neg clear-num associate-/l/ add-log-exp
2×rec-exp 1-exp
1×pow-flip div-sub frac-sub inv-pow sub-div
Counts
4 → 422
Calls
4 calls:
5.0ms
(/ z (- z t))
5.0ms
(/ a (- z t))
87.0ms
(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
127.0ms
(/ (- (/ z (- z t)) (/ a (- z t))) y)

series353.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ z (- z t))
28.0ms
(/ a (- z t))
126.0ms
(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
153.0ms
(/ (- (/ z (- z t)) (/ a (- z t))) y)

simplify77.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013085087
150024649

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample531.0ms

Algorithm
intervals
Results
269.0ms8735×body80valid
0.0ms1×body1280valid
0.0ms2×body160valid