Details

Time bar (total: 6.6s)

sample27.0ms

Algorithm
intervals
Results
16.0ms273×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ x (/ (* z (- y t)) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0433735
11861559
25001556

prune185.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.4b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
46.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09191696
142841528
250011521

prune480.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.4b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
26.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (/ (- y t) 2.0))
72.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013633876
150013759

prune925.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (- y t) 2.0) x)
0.6b
(/ 1 (/ (/ (- y t) 2.0) x))
4.4b
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
3228×times-frac
1622×add-sqr-sqrt *-un-lft-identity
1310×add-cube-cbrt
210×associate-/l*
156×distribute-lft-out-- difference-of-squares
75×div-inv
67×associate-/r*
61×add-exp-log
43×div-exp
31×add-cbrt-cube
19×cbrt-undiv
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×div-sub associate-/l/
1×pow-flip inv-pow
Counts
3 → 1153
Calls
3 calls:
12.0ms
(/ (/ (- y t) 2.0) x)
26.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
72.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

series256.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (/ (- y t) 2.0) x)
87.0ms
(/ 1 (/ (/ (- y t) 2.0) x))
124.0ms
(/ (/ 1 (/ (/ (- y t) 2.0) x)) z)

simplify205.0ms

Algorithm
egg-herbie
Counts
1162 → 1162
Iterations

Useful iterations: 1 (64.0ms)

IterNodesCost
0406715567
1500114922

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

42.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.3b

bsearch113.0ms

Steps
ItersRangePoint
11
2.6508783292860665e-208
8.280185951283791e-182
8.15072831329156e-182
9
-8.70047645783073e+79
-8.356946601526902e+74
-2.7183563329919357e+77

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
13115
23115

end0.0ms

sample763.0ms

Algorithm
intervals
Results
526.0ms8747×body80valid