Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.4b
(* (/ (- x y) (- z y)) t)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series146.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune189.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0b

Counts
109 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.4b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
13.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series183.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- z y))
47.0ms
(* (- x y) (/ 1 (- z y)))
97.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0392675
11893558
25001516

prune168.0ms

Filtered
128 candidates to 73 candidates (57.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done000
Total1286134

Merged error: 0b

Counts
134 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))
2.4b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
24.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series325.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- z y) (- x y))
129.0ms
(/ 1 (/ (- z y) (- x y)))
145.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
08742680
141882394
250012171

prune458.0ms

Filtered
335 candidates to 179 candidates (53.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3341335
Fresh134
Picked101
Done011
Total3365341

Merged error: 0b

Counts
341 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.5b
(/ t (/ (- z y) (- x y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- z y) (- x y))
16.0ms
(/ t (/ (- z y) (- x y)))

series205.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z y) (- x y))
157.0ms
(/ t (/ (- z y) (- x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06331784
128631733
250011730

prune332.0ms

Filtered
200 candidates to 134 candidates (67.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done011
Total2005205

Merged error: 0b

Counts
205 → 5

regimes96.0ms

Accuracy

-1.4% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch82.0ms

Steps
ItersRangePoint
10
2.7234947450557115e-24
1.7159733223174676e-08
3.731124293974029e-13
10
-3.888530707502619e-203
-4.907095746129643e-216
-5.108413218341481e-215

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample471.0ms

Algorithm
intervals
Results
262.0ms8686×body80valid