Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.7b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

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:
7.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series143.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
96.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune198.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series613.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- z y))
154.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))
153.0ms
(cbrt (- x y))

simplify176.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (169.0ms)

IterNodesCost
0228428
1487408
21327392
34667360
45001352

prune235.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done000
Total72577

Merged error: 0.0b

Counts
77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.3b
(* (- x y) (/ 1 (- z y)))
1.7b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite41.0ms

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))
18.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series190.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (- z y))
48.0ms
(* (- x y) (/ 1 (- z y)))
100.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392673
11893556
25001514

prune175.0ms

Filtered
128 candidates to 72 candidates (56.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0.0b

Counts
133 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
7.8b
(* (- x y) (/ t (- z y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z y))
68.0ms
(* (- x y) (/ t (- z y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0293474
11347437
25001437

prune149.0ms

Filtered
89 candidates to 63 candidates (70.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh022
Picked011
Done112
Total89594

Merged error: 0b

Counts
94 → 5

regimes99.0ms

bsearch2.0ms

Profiling

Loading profile data...