Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify55.0ms

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: 11.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.5b
(/ (* 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))

series100.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- z t))
65.0ms
(/ (* y (- z t)) (- z a))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0267276
11217239
25001239

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.4b
(* y (/ (- z t) (- z a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- z t) (- z a))
24.0ms
(* y (/ (- z t) (- z a)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- z a))
61.0ms
(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0351647
11392606
25002606

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
0.4b
(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
5.0ms
(/ t (- z a))
5.0ms
(/ z (- z a))
51.0ms
(- (/ z (- z a)) (/ t (- z a)))
151.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ t (- z a))
45.0ms
(/ z (- z a))
108.0ms
(- (/ z (- z a)) (/ t (- z a)))
132.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0429888
11588838
25002838

prune356.0ms

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
(/ (- z a) (- z t))
0.4b
(/ y (/ (- z a) (- z t)))

rewrite38.0ms

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:
13.0ms
(/ (- z a) (- z t))
14.0ms
(/ y (/ (- z a) (- z t)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z a) (- z t))
112.0ms
(/ y (/ (- z a) (- z t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06301780
128431729
250031726

prune460.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample505.0ms

Algorithm
intervals
Results
257.0ms8725×body80valid
0.0ms2×body160valid
0.0ms1×body640valid