Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

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: 2.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.5b
(* (/ (- x y) (- z y)) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series139.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- x y) (- z y))
94.0ms
(* (/ (- x y) (- z y)) t)

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune204.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1008108
Fresh000
Picked011
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.5b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ 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 y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series179.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- z y))
45.0ms
(* (- x y) (/ 1 (- z y)))
96.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0392673
11893556
25001514

prune163.0ms

Filtered
128 candidates to 71 candidates (55.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh077
Picked011
Done011
Total1289137

Merged error: 0b

Counts
137 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))
2.5b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
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-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
24.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series330.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z y) (- x y))
136.0ms
(/ 1 (/ (- z y) (- x y)))
146.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08742678
141882392
250012169

prune469.0ms

Filtered
335 candidates to 177 candidates (52.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3332335
Fresh246
Picked011
Done112
Total3368344

Merged error: 0b

Counts
344 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.8b
(/ t (/ (- z y) (- x y)))

rewrite33.0ms

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:
7.0ms
(/ (- z y) (- x y))
15.0ms
(/ t (/ (- z y) (- x y)))

series368.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z y) (- x y))
322.0ms
(/ t (/ (- z y) (- x y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06331784
128631733
250011730

prune322.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2000200
Fresh055
Picked011
Done022
Total2008208

Merged error: 0b

Counts
208 → 8

regimes118.0ms

bsearch2.0ms

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