Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms278×body80valid
0.0ms1×body1280valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

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: 12.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (* y (- z t)) (- z a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
8.0ms
(/ (* y (- z t)) (- z a))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* y (- z t)) (- z a))

simplify82.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0205178
1829151
24010151
35002151

prune72.0ms

Filtered
32 candidates to 23 candidates (71.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New26632
Fresh000
Picked101
Done000
Total27633

Merged error: 0.0b

Counts
33 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- z t) (- z a))
59.0ms
(* y (/ (- z t) (- z a)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune186.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh235
Picked101
Done000
Total1095114

Merged error: 0.0b

Counts
114 → 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))))

rewrite73.0ms

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:
5.0ms
(/ z (- z a))
5.0ms
(/ t (- z a))
25.0ms
(- (/ z (- z a)) (/ t (- z a)))
33.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ z (- z a))
29.0ms
(/ t (- z a))
105.0ms
(- (/ z (- z a)) (/ t (- z a)))
130.0ms
(* y (- (/ z (- z a)) (/ t (- z a))))

simplify46.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0429888
11588838
25002838

prune316.0ms

Filtered
156 candidates to 111 candidates (71.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh224
Picked011
Done000
Total1574161

Merged error: 0.0b

Counts
161 → 4

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))))

rewrite38.0ms

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))))

series138.0ms

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 (40.0ms)

IterNodesCost
0385673
11779564
25001522

prune178.0ms

Filtered
128 candidates to 75 candidates (58.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done011
Total1284132

Merged error: 0.0b

Counts
132 → 4

regimes107.0ms

Accuracy

18.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.3b

bsearch61.0ms

Steps
ItersRangePoint
6
7.424625918778215e-116
9.935521797738976e-115
1.2153972731783613e-115
7
-7.649413746154683e-32
-5.523324341088692e-34
-2.3556285618525312e-32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample567.0ms

Algorithm
intervals
Results
316.0ms8729×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

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