Details

Time bar (total: 3.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify49.0ms

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: 9.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.5b
(/ (* y (- z t)) (- a t))

rewrite47.0ms

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:
20.0ms
(* y (- z t))
26.0ms
(/ (* y (- z t)) (- a t))

series108.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- z t))
72.0ms
(/ (* y (- z t)) (- a t))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11211239
25001239

prune138.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.9b
(/ y (/ (- a t) (- z t)))

rewrite59.0ms

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:
24.0ms
(/ (- a t) (- z t))
23.0ms
(/ y (/ (- a t) (- z t)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- a t) (- z t))
153.0ms
(/ y (/ (- a t) (- z t)))

simplify73.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06331784
128621733
250011730

prune459.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.9b
(* y (/ (- z t) (- a t)))

rewrite69.0ms

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:
23.0ms
(/ (- z t) (- a t))
41.0ms
(* y (/ (- z t) (- a t)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z t) (- a t))
68.0ms
(* y (/ (- z t) (- a t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.0b
(* (/ y (- a t)) (- z t))

rewrite56.0ms

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:
10.0ms
(/ y (- a t))
42.0ms
(* (/ y (- a t)) (- z t))

series182.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- a t))
152.0ms
(* (/ y (- a t)) (- z t))

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0340501
11399463
25001463

prune201.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

58.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch72.0ms

Steps
ItersRangePoint
7
1.1098316879298111e-75
5.1763095540007274e-74
1.6048831386410337e-75
10
-3.2188181483613985e-74
-2.7927275203089696e-85
-7.060274994323644e-76

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample598.0ms

Algorithm
intervals
Results
253.0ms8736×body80valid
0.0ms2×body160valid