Details

Time bar (total: 2.1s)

sample25.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify68.0ms

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

prune14.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.1b
(* (/ (- x y) (- z y)) t)

rewrite25.0ms

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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series31.0ms

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

simplify98.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune107.0ms

Filtered
108 candidates to 72 candidates (33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109

Merged error: 0b

Counts
109 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
2.1b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
61×add-sqr-sqrt
51×times-frac
28×distribute-lft-out--
19×add-cube-cbrt
18×associate-*l*
16×difference-of-squares
10×associate-/r/
add-exp-log flip3-- add-cbrt-cube flip--
distribute-rgt-out--
pow1 associate-/r* div-inv add-log-exp
associate-*l/
associate-*r* associate-/l*
frac-sub sub-div
cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 103
Calls
3 calls:
27.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))
33.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series52.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))
32.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify84.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0314739
1989696
23602694
35001694

prune104.0ms

Filtered
112 candidates to 83 candidates (25.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh044
Picked011
Done000
Total1125117

Merged error: 0b

Counts
117 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
6.3b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
44×prod-exp
31×add-cbrt-cube
19×div-exp
18×cbrt-div cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*l*
pow1 cbrt-undiv add-cube-cbrt flip3-- flip--
associate-/r/
rec-exp 1-exp
frac-times associate-*l/
add-log-exp
times-frac pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
associate-*r* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
27.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series109.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z y))
29.0ms
(cbrt (- z y))
26.0ms
(cbrt (- z y))
28.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05201217
12206965
25001824

prune112.0ms

Filtered
116 candidates to 73 candidates (37.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done011
Total1165121

Merged error: 0b

Counts
121 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-cube-cbrt
cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
9.0ms
(/ (* (- x y) t) (- z y))

series15.0ms

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

simplify86.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204177
1884150
24387150
35001150

prune29.0ms

Filtered
32 candidates to 22 candidates (31.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh112
Picked011
Done112
Total33437

Merged error: 0b

Counts
37 → 4

regimes240.0ms

Accuracy

3.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch39.0ms

Steps
ItersRangePoint
9
2.6714593284404314e-136
1.286469113842705e-128
5.89696164471093e-135
7
9.510024560806738e-265
1.2030646346971742e-262
1.050831892379114e-263

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02310
12310

end0.0ms

sample650.0ms

Algorithm
intervals
Results
266.0ms8689×body80valid

Profiling

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