Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms280×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
13.5b
(/ (* (- y z) t) (- a z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
81×*-un-lft-identity
70×times-frac
37×add-cube-cbrt
35×associate-*l*
22×distribute-lft-out-- difference-of-squares
21×associate-*r*
14×associate-/l*
9×add-exp-log add-cbrt-cube
7×*-commutative unswap-sqr
5×associate-/r*
4×pow1 associate-*l/
3×flip3-- flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 129
Calls
2 calls:
6.0ms
(* (- y z) t)
13.0ms
(/ (* (- y z) t) (- a z))

series102.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) t)
71.0ms
(/ (* (- y z) t) (- a z))

simplify64.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0473979
12124942
25002942

prune207.0ms

Filtered
135 candidates to 89 candidates (34.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1323135
Fresh000
Picked011
Done000
Total1324136

Merged error: 0b

Counts
136 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.8b
(* t (/ (- y z) (- a z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
79×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
25×distribute-lft-out--
24×difference-of-squares
15×associate-*r/
12×associate-/l*
10×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×associate-*l* clear-num un-div-inv
2×cbrt-undiv frac-2neg div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
2 → 119
Calls
2 calls:
8.0ms
(/ (- y z) (- a z))
17.0ms
(* t (/ (- y z) (- a z)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
73.0ms
(* t (/ (- y z) (- a z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0386694
11585653
25001653

prune181.0ms

Filtered
125 candidates to 79 candidates (36.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh112
Picked101
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.5b
(/ 1 (/ (- a z) (- y z)))
1.8b
(* t (/ 1 (/ (- a z) (- y z))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
379×add-sqr-sqrt
371×*-un-lft-identity
173×add-cube-cbrt
112×associate-*r*
97×distribute-lft-out--
96×difference-of-squares
77×associate-/r*
48×associate-/r/
37×associate-*r/
35×add-exp-log
24×associate-/l*
19×add-cbrt-cube
15×div-exp
12×flip3-- flip--
11×div-inv
7×cbrt-undiv prod-exp clear-num
6×pow1 associate-/l/
5×frac-2neg unswap-sqr
4×rec-exp 1-exp
3×associate-*l* un-div-inv cbrt-unprod remove-double-div add-log-exp
1×pow-flip div-sub pow-prod-down *-commutative inv-pow
Counts
3 → 396
Calls
3 calls:
8.0ms
(/ (- a z) (- y z))
15.0ms
(/ 1 (/ (- a z) (- y z)))
44.0ms
(* t (/ 1 (/ (- a z) (- y z))))

series355.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- a z) (- y z))
144.0ms
(/ 1 (/ (- a z) (- y z)))
157.0ms
(* t (/ 1 (/ (- a z) (- y z))))

simplify124.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09402984
148252694
250032404

prune524.0ms

Filtered
405 candidates to 214 candidates (47.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh011
Picked011
Done011
Total4053408

Merged error: 0b

Counts
408 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
10.4b
(/ (- y z) (/ (- a z) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
174×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
43×distribute-lft-out-- difference-of-squares
25×associate-/r*
15×associate-/l*
13×associate-/r/
9×add-exp-log add-cbrt-cube
8×div-inv
6×associate-/l/
4×cbrt-undiv div-exp
3×flip3-- frac-2neg clear-num flip--
2×pow1 div-sub add-log-exp
Counts
2 → 187
Calls
2 calls:
6.0ms
(/ (- a z) t)
14.0ms
(/ (- y z) (/ (- a z) t))

series136.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- a z) t)
105.0ms
(/ (- y z) (/ (- a z) t))

simplify83.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07521656
128941605
250021604

prune370.0ms

Filtered
193 candidates to 128 candidates (33.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1930193
Fresh000
Picked011
Done022
Total1933196

Merged error: 0b

Counts
196 → 3

regimes160.0ms

Accuracy

71.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample531.0ms

Algorithm
intervals
Results
268.0ms8753×body80valid
0.0ms1×body1280valid
0.0ms2×body160valid