Details

Time bar (total: 5.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify54.0ms

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: 11.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.6b
(/ (* y (- z t)) (- z a))

rewrite20.0ms

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:
9.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series102.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
64.0ms
(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0267276
11217239
25001239

prune124.0ms

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))
1.6b
(/ y (/ (- z a) (- z t)))

rewrite40.0ms

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:
11.0ms
(/ (- z a) (- z t))
17.0ms
(/ y (/ (- z a) (- z t)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z a) (- z t))
112.0ms
(/ y (/ (- z a) (- z t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06301780
128431729
250031726

prune443.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
3.5b
(cbrt (/ (- z a) (- z t)))
3.5b
(cbrt (/ (- z a) (- z t)))
3.5b
(cbrt (/ (- z a) (- z t)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
67.0ms
(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
5.0ms
(cbrt (/ (- z a) (- z t)))
5.0ms
(cbrt (/ (- z a) (- z t)))
6.0ms
(cbrt (/ (- z a) (- z t)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
132.0ms
(cbrt (/ (- z a) (- z t)))
127.0ms
(cbrt (/ (- z a) (- z t)))
134.0ms
(cbrt (/ (- z a) (- z t)))

simplify104.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
03813471
111993405
243043218
350023212

prune968.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z a))
0.0b
(/ 1 (- z t))
10.1b
(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
699×add-sqr-sqrt *-un-lft-identity
419×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
47×div-inv
46×flip3-- flip--
31×add-exp-log associate-/r*
27×associate-/l*
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 585
Calls
3 calls:
5.0ms
(/ y (- z a))
5.0ms
(/ 1 (- z t))
28.0ms
(/ (/ y (- z a)) (/ 1 (- z t)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ y (- z a))
33.0ms
(/ 1 (- z t))
109.0ms
(/ (/ y (- z a)) (/ 1 (- z t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
594 → 594
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
022417568
150037017

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample536.0ms

Algorithm
intervals
Results
271.0ms8709×body80valid
0.0ms2×body2560valid
0.0ms1×body160valid