Details

Time bar (total: 4.2s)

analyze2.1s

Algorithm
search
sampling

Space saved by range analysis: 0.243902%

Space saved by search: 6.058543%

Guaranteed chance to sample good point: 41.506254%

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
3.0ms93×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (- (* x y) (* z t)) a)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
6.0ms
(/ (- (* x y) (* z t)) a)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ (- (* x y) (* z t)) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0163235
1569217
22030217
35002217

prune88.0ms

Filtered
26 candidates to 33 candidates (-26.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New211233
Fresh000
Picked101
Done000
Total221234

Merged error: 8.3b

Counts
34 → 12

localize8.0ms

Local error

Found 1 expressions with local error:

8.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
10.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify35.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0263312
11186269
25001251

prune76.0ms

Filtered
26 candidates to 43 candidates (-65.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh2911
Picked011
Done000
Total441155

Merged error: 8.3b

Counts
55 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
8.3b
(/ a (- (* x y) (* z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 113
Calls
2 calls:
10.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ 1 (/ a (- (* x y) (* z t))))
15.0ms
(/ a (- (* x y) (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04131155
118461043
25002953

prune105.0ms

Filtered
60 candidates to 119 candidates (-98.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh279
Picked011
Done011
Total11911130

Merged error: 8.3b

Counts
130 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.1b
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- (* x y) (* z t)) (cbrt a)))
5.3b
(/ (- (* x y) (* z t)) (cbrt a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
51×add-exp-log times-frac
39×*-un-lft-identity
36×add-cube-cbrt
30×cbrt-prod
22×associate-*r*
20×prod-exp
19×add-cbrt-cube
16×div-exp
9×unswap-sqr
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×pow1 associate-/r*
4×rec-exp 1-exp add-log-exp
3×div-inv associate-/l*
2×pow1/3 associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 134
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
17.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- (* x y) (* z t)) (cbrt a)))
6.0ms
(/ (- (* x y) (* z t)) (cbrt a))

series114.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
24.0ms
(cbrt a)
27.0ms
(* (/ 1 (* (cbrt a) (cbrt a))) (/ (- (* x y) (* z t)) (cbrt a)))
41.0ms
(/ (- (* x y) (* z t)) (cbrt a))

simplify74.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06311528
126551325
250021232

prune111.0ms

Filtered
97 candidates to 146 candidates (-50.5%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1442146
Fresh088
Picked011
Done022
Total14413157

Merged error: 5.3b

Counts
157 → 13

regimes1.2s

bsearch1.0ms

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