Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 8.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.6b
(/ (* y (- z t)) (- z a))

rewrite48.0ms

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:
21.0ms
(* y (- z t))
25.0ms
(/ (* y (- z t)) (- z a))

series91.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* y (- z t))
59.0ms
(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0267276
11217239
25001239

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
2.1b
(/ y (/ (- z a) (- z t)))

rewrite62.0ms

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:
25.0ms
(/ (- z a) (- z t))
25.0ms
(/ y (/ (- z a) (- z t)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- z a) (- z t))
106.0ms
(/ y (/ (- z a) (- z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06301780
128431729
250031726

prune463.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.2b
(* (- z a) (/ 1 (- z t)))
2.1b
(/ y (* (- z a) (/ 1 (- z t))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
12.0ms
(/ 1 (- z t))
48.0ms
(* (- z a) (/ 1 (- z t)))
20.0ms
(/ y (* (- z a) (/ 1 (- z t))))

series178.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- z t))
39.0ms
(* (- z a) (/ 1 (- z t)))
107.0ms
(/ y (* (- z a) (/ 1 (- z t))))

simplify47.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405704
11894591
25001543

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
6.9b
(* (/ y (- z a)) (- z t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
11.0ms
(/ y (- z a))
48.0ms
(* (/ y (- z a)) (- z t))

series133.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
104.0ms
(* (/ y (- z a)) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0341497
11399459
25001459

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample590.0ms

Algorithm
intervals
Results
240.0ms8751×body80valid
0.0ms1×body160valid