Details

Time bar (total: 3.5s)

analyze524.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms14×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.0b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

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:
7.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series35.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune103.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
2.0b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite46.0ms

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×distribute-rgt-out-- associate-*r* 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 → 111
Calls
3 calls:
5.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))
31.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))
31.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify93.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0350671
11159636
24215634
35001634

prune103.0ms

Filtered
87 candidates to 120 candidates (-37.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh134
Picked011
Done000
Total1205125

Merged error: 0b

Counts
125 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.2b
(* (- x y) (/ t (- z y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
16.0ms
(* (- x y) (/ t (- z y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25001437

prune74.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done011
Total89594

Merged error: 0b

Counts
94 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) t)
0.0b
(/ 1 (- z y))
11.6b
(* (/ 1 (- z y)) (* (- x y) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*l*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*l/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*r* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×frac-times associate-*r/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow unswap-sqr
Counts
3 → 112
Calls
3 calls:
6.0ms
(* (- x y) t)
7.0ms
(/ 1 (- z y))
13.0ms
(* (/ 1 (- z y)) (* (- x y) t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- x y) t)
4.0ms
(/ 1 (- z y))
27.0ms
(* (/ 1 (- z y)) (* (- x y) t))

simplify52.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0426617
12205520
25002487

prune81.0ms

Filtered
71 candidates to 121 candidates (-70.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done022
Total1215126

Merged error: 0b

Counts
126 → 5

regimes370.0ms

Accuracy

-49% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.1b

bsearch646.0ms

Steps
ItersRangePoint
9
1.253538028794694e-77
3.676082162082423e-68
5.664138942320091e-76
7
-3.4542258010199618e+134
-9.337928925633094e+132
-9.454525270829781e+132

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

analyze516.0ms

Algorithm
search

sample456.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid
17.0ms615×body80invalid

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