Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 2.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite135.0ms

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:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
99.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune271.0ms

Pruning

13 alts after pruning (13 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))))
3.3b
(* x (/ y z))

rewrite61.0ms

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:
5.0ms
(/ t (- 1.0 z))
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
38.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series180.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
65.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
61.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify84.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0674871
13174809
25001808

prune442.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.4b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
2.2b
(* (/ (- x) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))
3.3b
(* x (/ y z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
62×*-un-lft-identity
51×times-frac associate-*r*
50×cbrt-prod
40×add-cube-cbrt
33×associate-*l*
32×add-exp-log
28×cbrt-div
23×add-cbrt-cube
15×pow1
14×flip3-- flip--
12×unswap-sqr
11×prod-exp cbrt-unprod
10×swap-sqr associate-/r/ distribute-lft-out--
9×frac-times
8×cbrt-undiv div-exp difference-of-squares
7×pow1/3
6×associate-*r/
5×associate-*l/
4×pow-prod-down add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative div-inv
2×pow-sqr pow-prod-up
1×distribute-lft-neg-out pow2 neg-mul-1 pow-plus distribute-frac-neg
Counts
4 → 186
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
20.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
65.0ms
(* (/ (- x) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))
7.0ms
(* x (/ y z))

series257.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 z))
107.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
43.0ms
(* (/ (- x) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))
19.0ms
(* x (/ y z))

simplify44.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010111885
150011730

prune663.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (/ y z))
13.0b
(cbrt (* x (/ y z)))
13.0b
(cbrt (* x (/ y z)))
13.0b
(cbrt (* x (/ y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (/ y z))
81.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))

simplify103.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0230358
1937310
23854283
35002283

prune263.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

36.1% (4.1b remaining)

Error of 4.2b against oracle of 0.1b and baseline of 6.5b

bsearch67.0ms

Steps
ItersRangePoint
8
4.7263106042424435e+98
8.483834686934382e+102
1.730478846643417e+99
4
-1.4100144162357172e+19
-8.723513510151469e+18
-1.0610978712379951e+19

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04219
15119
25319
35319

end0.0ms

sample550.0ms

Algorithm
intervals
Results
299.0ms10012×body80valid