Details

Time bar (total: 5.2s)

sample26.0ms

Algorithm
intervals
Results
14.0ms282×body80valid

simplify52.0ms

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))
11.2b
(/ (* y (- z t)) (- z a))

rewrite21.0ms

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:
10.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) (- z a))

series101.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0267276
11217239
25001239

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.6b
(/ y (/ (- z a) (- z t)))

rewrite41.0ms

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:
15.0ms
(/ (- z a) (- z t))
15.0ms
(/ y (/ (- z a) (- z t)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z a) (- z t))
113.0ms
(/ y (/ (- z a) (- z t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06301780
128431729
250031726

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.4b
(/ 1 (/ (/ (- z a) (- z t)) y))
0.7b
(/ (/ (- z a) (- z t)) y)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
11.0ms
(/ (- z a) (- z t))
31.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
24.0ms
(/ (/ (- z a) (- z t)) y)

series500.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- z a) (- z t))
372.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
83.0ms
(/ (/ (- z a) (- z t)) y)

simplify103.0ms

Algorithm
egg-herbie
Counts
620 → 620
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017577379
150016707

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(/ (/ (- z a) (- z t)) (* (cbrt y) (cbrt y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
69×add-sqr-sqrt *-un-lft-identity
31×associate-/l*
29×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod
6×cbrt-undiv div-exp
4×pow1 associate-/r/ add-log-exp
3×pow1/3 div-inv
2×flip3-- div-sub prod-exp flip-- cbrt-unprod
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 116
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
23.0ms
(/ (/ (- z a) (- z t)) (* (cbrt y) (cbrt y)))

series781.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
184.0ms
(cbrt y)
177.0ms
(cbrt y)
239.0ms
(/ (/ (- z a) (- z t)) (* (cbrt y) (cbrt y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04561003
11710882
25002851

prune356.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.1b 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

sample723.0ms

Algorithm
intervals
Results
462.0ms8717×body80valid
0.0ms1×body2560valid
0.0ms1×body160valid