Details

Time bar (total: 4.4s)

sample846.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
13.0ms281×body80valid

simplify52.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(* y (/ (- z t) (- z a)))

rewrite46.0ms

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:
13.0ms
(/ (- z t) (- z a))
24.0ms
(* y (/ (- z t) (- z a)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- z t) (- z a))
27.0ms
(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune137.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0b

Counts
109 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.2b
(/ 1 (/ (- z a) (- z t)))
1.3b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
8.0ms
(/ (- z a) (- z t))
14.0ms
(/ 1 (/ (- z a) (- z t)))
30.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series46.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- z a) (- z t))
17.0ms
(/ 1 (/ (- z a) (- z t)))
20.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify97.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08822716
145142431
250012145

prune216.0ms

Filtered
171 candidates to 336 candidates (-96.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3342336
Fresh415
Picked101
Done011
Total3394343

Merged error: 0b

Counts
343 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.1b
(/ y (/ (- z a) (- z t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ y (/ (- z a) (- z t)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z a) (- z t))
25.0ms
(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06301780
128431729
250031726

prune140.0ms

Filtered
132 candidates to 200 candidates (-51.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh022
Picked011
Done011
Total2004204

Merged error: 0b

Counts
204 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- z a))
0.0b
(/ 1 (- z t))
0.2b
(/ 1 (/ 1 (- z t)))
10.1b
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
303×times-frac
249×add-sqr-sqrt
214×*-un-lft-identity
140×add-cube-cbrt
108×add-exp-log
68×associate-*r*
58×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
31×associate-/r*
26×prod-exp
22×rec-exp 1-exp associate-/r/
21×associate-*l*
14×cbrt-undiv unswap-sqr
12×div-inv
10×flip3-- flip--
9×pow1 associate-/l*
6×cbrt-unprod
5×pow-flip
4×add-log-exp
3×frac-2neg clear-num inv-pow
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative remove-double-div
Counts
4 → 343
Calls
4 calls:
5.0ms
(/ y (- z a))
5.0ms
(/ 1 (- z t))
9.0ms
(/ 1 (/ 1 (- z t)))
41.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ y (- z a))
4.0ms
(/ 1 (- z t))
3.0ms
(/ 1 (/ 1 (- z t)))
20.0ms
(* (/ y (- z a)) (/ 1 (/ 1 (- z t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011192383
150011880

prune246.0ms

Filtered
178 candidates to 355 candidates (-99.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3550355
Fresh011
Picked011
Done022
Total3554359

Merged error: 0b

Counts
359 → 4

regimes513.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results
331.0ms8719×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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