Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms278×body80valid
0.0ms1×body1280valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune3.0ms

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: 1.6b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
16.0ms
(/ (- z t) (- z a))
23.0ms
(* y (/ (- z t) (- z a)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- z t) (- z a))
66.0ms
(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune207.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z t)) (cbrt (- z t)))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
11.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series562.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
143.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))

simplify152.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0261760
1913723
24493670
35001660

prune338.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done000
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
10.0ms
(/ z (- z a))
7.0ms
(/ t (- z a))
25.0ms
(- (/ z (- z a)) (/ t (- z a)))
33.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ z (- z a))
29.0ms
(/ t (- z a))
105.0ms
(- (/ z (- z a)) (/ t (- z a)))
156.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify49.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0429888
11588838
25002838

prune292.0ms

Filtered
156 candidates to 110 candidates (70.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done011
Total1565161

Merged error: 0.0b

Counts
161 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
1.8b
(* y (* (- z t) (/ 1 (- z a))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z a))
15.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))

series137.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- z a))
44.0ms
(* (- z t) (/ 1 (- z a)))
60.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify51.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0385673
11779564
25001522

prune181.0ms

Filtered
128 candidates to 75 candidates (58.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done022
Total1285133

Merged error: 0.0b

Counts
133 → 5

regimes115.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample560.0ms

Algorithm
intervals
Results
310.0ms8729×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

Loading profile data...