Details

Time bar (total: 2.2s)

sample28.0ms

Algorithm
intervals
Results
14.0ms355×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

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: 3.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.3b
(/ y (* z 3.0))
0.3b
(* (* z 3.0) y)
7.6b
(/ t (* (* z 3.0) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
10.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms
(/ y (* z 3.0))
5.0ms
(* (* z 3.0) y)
6.0ms
(/ t (* (* z 3.0) y))

series149.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(/ y (* z 3.0))
20.0ms
(* (* z 3.0) y)
33.0ms
(/ t (* (* z 3.0) y))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0405532
12039469
25001469

prune194.0ms

Filtered
93 candidates to 62 candidates (66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84993
Fresh000
Picked101
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.3b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
5.2b
(/ (/ t (* z 3.0)) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
15.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
5.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series149.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
22.0ms
(/ y (* z 3.0))
19.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0482721
11906657
25001657

prune237.0ms

Filtered
121 candidates to 87 candidates (71.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh358
Picked101
Done000
Total1228130

Merged error: 0b

Counts
130 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
0.3b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
5.2b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
35×add-cbrt-cube
24×add-sqr-sqrt
20×times-frac
18×*-un-lft-identity div-exp prod-exp
17×add-cube-cbrt
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
9×add-log-exp
8×frac-add
7×associate-*l*
6×pow1 associate-/l*
4×flip3-- flip-- div-inv
3×frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv unswap-sqr
2×associate-+l+ frac-2neg clear-num associate-/r* sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+
Counts
4 → 119
Calls
4 calls:
8.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
4.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z 3.0))
11.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series147.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
19.0ms
(/ y (* z 3.0))
22.0ms
(/ t (* z 3.0))
28.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify83.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0650911
13102801
25002786

prune223.0ms

Filtered
131 candidates to 84 candidates (64.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh077
Picked011
Done000
Total1318139

Merged error: 0b

Counts
139 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* 0.3333333333333333 (/ y z)))
0.2b
(* 0.3333333333333333 (/ y z))
0.3b
(/ t (* z 3.0))
5.2b
(/ (/ t (* z 3.0)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
35×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
13×associate-*r*
10×associate-/l*
8×cbrt-undiv div-exp
7×div-inv
6×pow1 add-log-exp
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l*
2×frac-2neg clear-num unswap-sqr
1×sub-neg flip3-- diff-log associate-*r/ pow-prod-down *-commutative flip-- associate-/l/
Counts
4 → 113
Calls
4 calls:
3.0ms
(- x (* 0.3333333333333333 (/ y z)))
6.0ms
(* 0.3333333333333333 (/ y z))
4.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series103.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (* 0.3333333333333333 (/ y z)))
24.0ms
(* 0.3333333333333333 (/ y z))
18.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0487607
12115546
25001546

prune239.0ms

Filtered
125 candidates to 90 candidates (72.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh156
Picked011
Done011
Total1258133

Merged error: 0b

Counts
133 → 8

regimes209.0ms

bsearch3.0ms

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