Details

Time bar (total: 3.3s)

sample164.0ms

Algorithm
intervals
Results
144.0ms333×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.2b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

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:
8.0ms
(/ t (- 1.0 z))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0387632
11452595
25002593

prune151.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New89998
Fresh000
Picked011
Done000
Total891099

Merged error: 0.3b

Counts
99 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.0b
(/ (- 1.0 z) t)
0.4b
(/ 1 (/ (- 1.0 z) t))
3.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
40.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
6.0ms
(/ (- 1.0 z) t)
8.0ms
(/ 1 (/ (- 1.0 z) t))
45.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms
(/ (- 1.0 z) t)
5.0ms
(/ 1 (/ (- 1.0 z) t))
16.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify83.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07521646
133961379
250021371

prune209.0ms

Filtered
121 candidates to 214 candidates (-76.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2122214
Fresh358
Picked011
Done011
Total2159224

Merged error: 0.0b

Counts
224 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.3b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
107×add-sqr-sqrt
82×cbrt-prod
64×times-frac
36×distribute-lft-out--
33×cbrt-div
28×difference-of-squares
17×swap-sqr
15×add-cube-cbrt
13×associate-*r* associate-*l*
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 143
Calls
4 calls:
43.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series166.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z)))))
36.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
42.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
37.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
03902117
111382038
241101872
350021851

prune334.0ms

Filtered
107 candidates to 155 candidates (-44.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1550155
Fresh066
Picked011
Done022
Total1559164

Merged error: 0.0b

Counts
164 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- 1.0 z))
1.1b
(- (* y (- 1.0 z)) (* z t))
4.6b
(* x (- (* y (- 1.0 z)) (* z t)))
20.1b
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
14×distribute-rgt-in add-sqr-sqrt distribute-lft-in
12×associate--l+
11×sub-neg
10×*-un-lft-identity
8×pow1 add-cube-cbrt associate-*r/ associate-*r*
6×associate-*l* prod-exp cbrt-unprod add-log-exp
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow-prod-down associate-/r/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 99
Calls
4 calls:
6.0ms
(* y (- 1.0 z))
6.0ms
(- (* y (- 1.0 z)) (* z t))
9.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
13.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (- 1.0 z))
8.0ms
(- (* y (- 1.0 z)) (* z t))
14.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
30.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0469799
12588661
25001661

prune97.0ms

Filtered
66 candidates to 111 candidates (-68.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh145
Picked101
Done213
Total1119120

Merged error: 0b

Counts
120 → 9

regimes528.0ms

Accuracy

72.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 4.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03424
13424

end0.0ms

sample843.0ms

Algorithm
intervals
Results
375.0ms10132×body80valid

Profiling

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