Details

Time bar (total: 3.0s)

analyze1.2s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 2.851109%

Guaranteed chance to sample good point: 70.04013%

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms18×body80invalid

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.3b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

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:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series32.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
22.0ms
(* (/ (- x y) (- z y)) t)

simplify95.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune116.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
4.0b
(cbrt (/ (- x y) (- z y)))
4.0b
(cbrt (/ (- x y) (- z y)))
4.0b
(cbrt (/ (- x y) (- z y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
36.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
61.0ms
(cbrt (/ (- x y) (- z y)))
65.0ms
(cbrt (/ (- x y) (- z y)))
60.0ms
(cbrt (/ (- x y) (- z y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05493648
117533583
250013382

prune245.0ms

Filtered
180 candidates to 288 candidates (-60.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2880288
Fresh066
Picked011
Done011
Total2888296

Merged error: 0.0b

Counts
296 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.8b
(* (- x y) (/ t (- z y)))

rewrite24.0ms

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))
13.0ms
(* (- x y) (/ t (- z y)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
16.0ms
(* (- x y) (/ t (- z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25001437

prune86.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh145
Picked011
Done022
Total89897

Merged error: 0b

Counts
97 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
11.2b
(/ (* (- x y) t) (- z y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* (- x y) t)
9.0ms
(/ (* (- x y) t) (- z y))

series25.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- x y) t)
19.0ms
(/ (* (- x y) t) (- z y))

simplify35.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256263
11188226
25001226

prune47.0ms

Filtered
38 candidates to 57 candidates (-50.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New56157
Fresh134
Picked011
Done033
Total57865

Merged error: 0b

Counts
65 → 8

regimes521.0ms

bsearch1.0ms

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