Details

Time bar (total: 3.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

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: 2.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series144.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune218.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1039112
Fresh000
Picked101
Done000
Total1049113

Merged error: 0.0b

Counts
113 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×expm1-log1p-u distribute-rgt-out-- associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))
34.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series203.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ x (- z y))
47.0ms
(/ y (- z y))
128.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0359697
11177662
24344660
35002660

prune236.0ms

Filtered
126 candidates to 93 candidates (73.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh088
Picked011
Done000
Total1269135

Merged error: 0.0b

Counts
135 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
2.3b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite69.0ms

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×expm1-log1p-u associate-*r* cbrt-unprod log1p-expm1-u 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 → 332
Calls
3 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
28.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series325.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z y) (- x y))
128.0ms
(/ 1 (/ (- z y) (- x y)))
152.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08852703
142142416
250012191

prune496.0ms

Filtered
341 candidates to 184 candidates (54.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3392341
Fresh257
Picked101
Done011
Total3428350

Merged error: 0.0b

Counts
350 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.2b
(/ t (/ (- z y) (- x y)))

rewrite37.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
9.0ms
(/ (- z y) (- x y))
16.0ms
(/ t (/ (- z y) (- x y)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z y) (- x y))
148.0ms
(/ t (/ (- z y) (- x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06421801
128871748
250011745

prune401.0ms

Filtered
204 candidates to 138 candidates (67.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2031204
Fresh246
Picked011
Done011
Total2057212

Merged error: 0.0b

Counts
212 → 7

regimes161.0ms

Accuracy

38% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02823
12823

end0.0ms

sample439.0ms

Algorithm
intervals
Results
220.0ms8728×body80valid