Details

Time bar (total: 5.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms331×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
9.0ms
(/ t (- 1.0 z))
154.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series323.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
243.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify243.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
6.1b
(* x (/ y z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 156
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
36.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series174.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ t (- 1.0 z))
65.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
55.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* x (/ y z))

simplify82.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0697901
13283837
25001834

prune424.0ms

Filtered
168 candidates to 127 candidates (75.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
5.0b
(* (* x y) (/ 1 z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
54×times-frac
41×add-cube-cbrt
30×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
13×prod-exp
11×pow1
10×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-/r/ add-log-exp
5×associate-*r/ div-exp associate-/r*
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u div-inv
3×cbrt-undiv flip3-- distribute-rgt-neg-out flip-- distribute-neg-frac associate-/l*
2×rec-exp 1-exp frac-add un-div-inv *-commutative
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg clear-num sum-log flip-+ unswap-sqr
Counts
4 → 162
Calls
4 calls:
6.0ms
(/ t (- 1.0 z))
9.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
39.0ms
(* x (- (/ t (- 1.0 z))))
11.0ms
(* (* x y) (/ 1 z))

series176.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ t (- 1.0 z))
62.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
59.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* (* x y) (/ 1 z))

simplify101.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0785975
13969889
25001877

prune430.0ms

Filtered
174 candidates to 123 candidates (70.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (- (/ t (- 1.0 z))))
13.2b
(cbrt (/ y z))
13.2b
(cbrt (/ y z))
13.2b
(cbrt (/ y z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×*-un-lft-identity times-frac
46×associate-*r*
45×add-cube-cbrt
39×cbrt-prod
21×distribute-lft-neg-in distribute-rgt-neg-in
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
5×div-inv
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×flip3-- flip--
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 137
Calls
4 calls:
39.0ms
(* x (- (/ t (- 1.0 z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series251.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* x (- (/ t (- 1.0 z))))
65.0ms
(cbrt (/ y z))
59.0ms
(cbrt (/ y z))
64.0ms
(cbrt (/ y z))

simplify56.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0463817
11923773
25001764

prune504.0ms

Filtered
149 candidates to 124 candidates (83.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes228.0ms

Accuracy

21.2% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 5.6b

bsearch60.0ms

Steps
ItersRangePoint
5
1.642301625791499e-38
6.362239778674672e-38
6.218536839892062e-38
5
-1.9185660409486288e-180
-5.143583757421162e-181
-1.773736569424758e-180

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04816
15616
26216
36216

end0.0ms

sample578.0ms

Algorithm
intervals
Results
311.0ms10071×body80valid