Details

Time bar (total: 6.6s)

sample33.0ms

Algorithm
intervals
Results
20.0ms324×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite308.0ms

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:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
153.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series142.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
37.0ms
(/ t (- 1.0 z))
63.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify256.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0166127825
1500122260

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
5.4b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
3.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ t (- 1.0 z))
56.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
65.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303522
11110468
25001463

prune486.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.3b
(* x (- (/ t (- 1.0 z))))
4.2b
(/ (* x y) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×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×associate-/r*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 150
Calls
4 calls:
8.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
39.0ms
(* x (- (/ t (- 1.0 z))))
4.0ms
(/ (* x y) z)

series193.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
36.0ms
(/ t (- 1.0 z))
64.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ (* x y) z)

simplify97.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0641851
13080795
25002792

prune484.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.3b
(* x (- (/ t (- 1.0 z))))
2.7b
(fma (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (* x (- (/ t (- 1.0 z)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r*
40×add-sqr-sqrt
38×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
6×pow1 add-exp-log cbrt-prod add-cbrt-cube distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l*
2×flip3-- pow1/3 flip-- div-inv
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef distribute-neg-frac unswap-sqr
Counts
4 → 101
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
39.0ms
(* x (- (/ t (- 1.0 z))))
0.0ms
(fma (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (* x (- (/ t (- 1.0 z)))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt z)
193.0ms
(cbrt z)
66.0ms
(* x (- (/ t (- 1.0 z))))
206.0ms
(fma (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (* x (- (/ t (- 1.0 z)))))

simplify77.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0423625
11907571
25001559

prune404.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

36.9% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 4.4b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04228
15128
25328
35328

end0.0ms

sample917.0ms

Algorithm
intervals
Results
655.0ms10073×body80valid