Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms285×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.4b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
10.9b
(/ (* (- y z) t) (- a z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(+ x (/ (* (- y z) t) (- a z)))
6.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
64.0ms
(/ (* (- y z) t) (- a z))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune139.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New69372
Fresh000
Picked011
Done000
Total69473

Merged error: 0.0b

Counts
73 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
15.0ms
(* (- y z) (/ t (- a z)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (* (- y z) (/ t (- a z))))
30.0ms
(/ t (- a z))
60.0ms
(* (- y z) (/ t (- a z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365574
11604535
25002535

prune179.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh022
Picked011
Done011
Total1025107

Merged error: 0b

Counts
107 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ x (/ (- y z) (/ (- a z) t)))
12.3b
(/ (- y z) (/ (- a z) t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
5.0ms
(/ (- a z) t)
28.0ms
(+ x (/ (- y z) (/ (- a z) t)))
11.0ms
(/ (- y z) (/ (- a z) t))

series188.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
70.0ms
(+ x (/ (- y z) (/ (- a z) t)))
92.0ms
(/ (- y z) (/ (- a z) t))

simplify75.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07791717
129861664
250011664

prune340.0ms

Filtered
197 candidates to 133 candidates (67.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh112
Picked011
Done112
Total1984202

Merged error: 0b

Counts
202 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y z) (- a z)) t))
0.0b
(/ (- y z) (- a z))
1.4b
(* (/ (- y z) (- a z)) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* (/ (- y z) (- a z)) t))
7.0ms
(/ (- y z) (- a z))
14.0ms
(* (/ (- y z) (- a z)) t)

series207.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ x (* (/ (- y z) (- a z)) t))
45.0ms
(/ (- y z) (- a z))
90.0ms
(* (/ (- y z) (- a z)) t)

simplify43.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0432753
11363710
25001709

prune196.0ms

Filtered
122 candidates to 83 candidates (68.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4

regimes99.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample789.0ms

Algorithm
intervals
Results
522.0ms8743×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid