Details

Time bar (total: 6.6s)

analyze2.1s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 1.120665%

Guaranteed chance to sample good point: 46.311576%

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms16×body80invalid

simplify51.0ms

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: 1.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.6b
(* y (/ (- z t) (- z a)))

rewrite26.0ms

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:
8.0ms
(/ (- z t) (- z a))
14.0ms
(* y (/ (- z t) (- z a)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- z t) (- z a))
16.0ms
(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0351647
11392606
25002606

prune119.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.5b
(/ 1 (/ (- z a) (- z t)))
2.6b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite74.0ms

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))
12.0ms
(/ 1 (/ (- z a) (- z t)))
33.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series47.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z a) (- z t))
17.0ms
(/ 1 (/ (- z a) (- z t)))
21.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify98.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08822716
145142431
250012145

prune208.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3342336
Fresh426
Picked101
Done101
Total3404344

Merged error: 0b

Counts
344 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
2.6b
(/ 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:
9.0ms
(/ (- z a) (- z t))
24.0ms
(/ y (/ (- z a) (- z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06301780
128431729
250031726

prune137.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done000
Total2004204

Merged error: 0b

Counts
204 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
2.6b
(* y (* (- z t) (/ 1 (- z a))))

rewrite36.0ms

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:
6.0ms
(/ 1 (- z a))
13.0ms
(* (- z t) (/ 1 (- z a)))
12.0ms
(* y (* (- z t) (/ 1 (- z a))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
9.0ms
(* (- z t) (/ 1 (- z a)))
16.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0385671
11779562
25001520

prune91.0ms

Filtered
74 candidates to 128 candidates (-73.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done011
Total1284132

Merged error: 0b

Counts
132 → 4

regimes308.0ms

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
0115
1115

end0.0ms

analyze2.3s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 1.120665%

Guaranteed chance to sample good point: 46.311576%

sample631.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid
22.0ms626×body80invalid

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