Details

Time bar (total: 3.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
11.0ms
(/ t (- 1.0 z))
142.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series109.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (/ y z) (/ t (- 1.0 z)))
31.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune210.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

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)))))
3.0b
(* x (- (/ t (- 1.0 z))))
6.5b
(* x (/ y z))

rewrite98.0ms

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×associate-*r/ 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 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
11.0ms
(/ t (- 1.0 z))
11.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
57.0ms
(* x (- (/ t (- 1.0 z))))
14.0ms
(* x (/ y z))

series155.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ t (- 1.0 z))
56.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
49.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify79.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0674871
13174809
25001808

prune409.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
3.5b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
20.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
12.0ms
(/ 1 (- 1.0 z))
30.0ms
(* t (/ 1 (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
21.0ms
(/ 1 (- 1.0 z))
34.0ms
(* t (/ 1 (- 1.0 z)))
43.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0495827
12159731
25001689

prune299.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b
(* x (- (/ t (- 1.0 z))))
11.8b
(cbrt (/ y z))
11.8b
(cbrt (/ y z))
11.8b
(cbrt (/ y z))

rewrite69.0ms

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×associate-/r/ 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 → 129
Calls
4 calls:
57.0ms
(* x (- (/ t (- 1.0 z))))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series213.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (- (/ t (- 1.0 z))))
55.0ms
(cbrt (/ y z))
56.0ms
(cbrt (/ y z))
53.0ms
(cbrt (/ y z))

simplify53.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454793
11892747
25001741

prune419.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

0.3% (4.5b remaining)

Error of 4.6b against oracle of 0.1b and baseline of 4.6b

bsearch24.0ms

Steps
ItersRangePoint
5
-4.0967136639793545e-293
-1.2360981058936487e-293
-1.7724551773071762e-293

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03518
13918
24018
34018

end0.0ms

sample591.0ms

Algorithm
intervals
Results
276.0ms10093×body80valid