Details

Time bar (total: 4.4s)

sample61.0ms

Algorithm
intervals
Results
23.0ms406×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0495317
1495317

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
0.2b
(* x (* 9.0 y))
4.1b
(/ (+ (* x (* 9.0 y)) b) z)
10.3b
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*r* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
11.0ms
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
5.0ms
(* x (* 9.0 y))
8.0ms
(/ (+ (* x (* 9.0 y)) b) z)
14.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

series101.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a)))
6.0ms
(* x (* 9.0 y))
14.0ms
(/ (+ (* x (* 9.0 y)) b) z)
43.0ms
(/ (- (/ (+ (* x (* 9.0 y)) b) z) (* 4.0 (* t a))) c)

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049641629
149641629

prune200.0ms

Filtered
75 candidates to 101 candidates (-34.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9110101
Fresh101
Picked101
Done000
Total9310103

Merged error: 0.3b

Counts
103 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b
(* y (/ x (* z c)))
5.2b
(* t (/ a c))
5.8b
(/ b (* z c))
7.3b
(/ x (* z c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt
20×associate-*r*
19×add-cube-cbrt *-un-lft-identity times-frac
8×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 101
Calls
4 calls:
7.0ms
(* y (/ x (* z c)))
6.0ms
(* t (/ a c))
4.0ms
(/ b (* z c))
4.0ms
(/ x (* z c))

series25.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* y (/ x (* z c)))
5.0ms
(* t (/ a c))
5.0ms
(/ b (* z c))
5.0ms
(/ x (* z c))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04996768
14996768

prune181.0ms

Filtered
76 candidates to 113 candidates (-48.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1076113
Fresh279
Picked101
Done000
Total11013123

Merged error: 0.0b

Counts
123 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

3.8b
(* y (/ x (* z c)))
5.2b
(* t (/ a c))
5.6b
(* b (/ 1 (* z c)))
7.3b
(/ x (* z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
27×associate-*r*
20×add-cube-cbrt *-un-lft-identity
19×times-frac
17×prod-exp
11×cbrt-unprod
10×pow1
9×div-exp associate-*l*
7×cbrt-undiv
4×div-inv add-log-exp unswap-sqr
3×associate-*r/ pow-prod-down *-commutative associate-/l*
2×rec-exp 1-exp
1×frac-2neg clear-num associate-/r* un-div-inv
Counts
4 → 112
Calls
4 calls:
7.0ms
(* y (/ x (* z c)))
7.0ms
(* t (/ a c))
8.0ms
(* b (/ 1 (* z c)))
5.0ms
(/ x (* z c))

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* y (/ x (* z c)))
5.0ms
(* t (/ a c))
5.0ms
(* b (/ 1 (* z c)))
5.0ms
(/ x (* z c))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05191825

prune171.0ms

Filtered
79 candidates to 124 candidates (-57.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01212
Picked011
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* (/ y z) (/ x c)))
5.2b
(* t (/ a c))
5.8b
(/ b (* z c))
10.9b
(* (/ y z) (/ x c))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
44×add-exp-log add-cbrt-cube
35×times-frac
29×add-cube-cbrt *-un-lft-identity
27×associate-*r*
19×associate-*l*
16×prod-exp cbrt-unprod
13×pow1
11×cbrt-undiv div-exp
6×associate-*r/ unswap-sqr
5×pow-prod-down
4×div-inv add-log-exp
3×*-commutative associate-/l*
2×frac-times associate-*l/
1×frac-2neg clear-num associate-/r*
Counts
4 → 130
Calls
4 calls:
8.0ms
(* 9.0 (* (/ y z) (/ x c)))
7.0ms
(* t (/ a c))
4.0ms
(/ b (* z c))
10.0ms
(* (/ y z) (/ x c))

series28.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* 9.0 (* (/ y z) (/ x c)))
5.0ms
(* t (/ a c))
5.0ms
(/ b (* z c))
8.0ms
(* (/ y z) (/ x c))

simplify64.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049821138
149821138

prune128.0ms

Filtered
95 candidates to 142 candidates (-49.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1411142
Fresh11011
Picked011
Done011
Total14213155

Merged error: 0.0b

Counts
155 → 13

regimes1.1s

Accuracy

25.2% (9.1b remaining)

Error of 9.1b against oracle of 0.1b and baseline of 12.2b

bsearch150.0ms

Steps
ItersRangePoint
7
8.118541366441632e-37
1.1394160100039541e-34
9.042159349952659e-35
9
1.7757808759363696e-240
1.0041899748679871e-234
2.4452607704569994e-237
10
-1.018591514415395e-100
-1.2202834848357667e-116
-4.3366014336811505e-101
7
-3.045718930388254e+22
-1.4083105916027973e+20
-1.8297439497525036e+21

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0142121
1142121

end0.0ms

sample1.7s

Algorithm
intervals
Results
722.0ms12827×body80valid

Profiling

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