Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1325
2575
31005
41445
51775
62035
72635
83525
94455
106865
119095
129325
139325

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.6b
(/ (* y (- z t)) (- a t))

rewrite17.0ms

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:
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series99.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
64.0ms
(/ (* y (- z t)) (- a t))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0264276
11211239
25001239

prune136.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.3b
(* y (/ (- z t) (- a t)))

rewrite27.0ms

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:
8.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0349647
11396606
25001606

prune235.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.3b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite82.0ms

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:
30.0ms
(- (/ z (- a t)) (/ t (- a t)))
5.0ms
(/ z (- a t))
6.0ms
(/ t (- a t))
34.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series216.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (/ z (- a t)) (/ t (- a t)))
27.0ms
(/ z (- a t))
43.0ms
(/ t (- a t))
75.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0434894
11619844
25001844

prune381.0ms

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
(/ t (- a t))
0.0b
(/ 1 (- a t))
0.2b
(* z (/ 1 (- a t)))
2.3b
(* y (- (* z (/ 1 (- a t))) (/ t (- a t))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
59×*-un-lft-identity
47×times-frac
36×add-cube-cbrt
25×associate-*r*
21×add-exp-log
15×add-cbrt-cube
11×distribute-lft-out-- difference-of-squares
10×associate-/r*
9×pow1 associate-*r/
6×associate-*l* associate-/r/ associate-/l*
5×div-exp prod-exp
4×flip3-- flip-- div-inv add-log-exp unswap-sqr
3×cbrt-undiv un-div-inv cbrt-unprod
2×distribute-rgt-in sub-neg rec-exp frac-2neg distribute-lft-in 1-exp pow-prod-down clear-num *-commutative frac-sub sub-div
1×distribute-rgt-out-- pow-flip inv-pow
Counts
4 → 151
Calls
4 calls:
6.0ms
(/ t (- a t))
6.0ms
(/ 1 (- a t))
10.0ms
(* z (/ 1 (- a t)))
16.0ms
(* y (- (* z (/ 1 (- a t))) (/ t (- a t))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ t (- a t))
34.0ms
(/ 1 (- a t))
31.0ms
(* z (/ 1 (- a t)))
78.0ms
(* y (- (* z (/ 1 (- a t))) (/ t (- a t))))

simplify57.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0449835
11878744
25001701

prune353.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

-4.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch84.0ms

Steps
ItersRangePoint
8
7.254603126169503e-72
3.935207622333976e-69
8.496576100564071e-71
8
-2.9094027944766536e-270
-3.6457286778949607e-274
-1.0370897822389571e-271

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03915
14315
24415
34415

end0.0ms

sample525.0ms

Algorithm
intervals
Results
267.0ms8733×body80valid
0.0ms1×body640valid
0.0ms1×body160valid