Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms269×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

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: 7.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.7b
(/ x (* (- y z) (- t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
13.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
119.0ms
(/ x (* (- y z) (- t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0384705
11834535
25002528

prune149.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85691
Fresh000
Picked011
Done000
Total85792

Merged error: 0b

Counts
92 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.8b
(/ (/ x (- y z)) (- t z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
7.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- t z))

series141.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ x (- y z))
114.0ms
(/ (/ x (- y z)) (- t z))

simplify67.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune345.0ms

Filtered
195 candidates to 132 candidates (67.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1941195
Fresh145
Picked011
Done101
Total1966202

Merged error: 0b

Counts
202 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
5.0ms
(/ x (- t z))
6.0ms
(/ 1 (- y z))
22.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- t z))
36.0ms
(/ 1 (- y z))
200.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0528932
12284821
25001789

prune253.0ms

Filtered
165 candidates to 104 candidates (63.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1650165
Fresh044
Picked011
Done011
Total1656171

Merged error: 0b

Counts
171 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
175.0ms
(cbrt x)
174.0ms
(cbrt x)
137.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05391075
12688884
25001825

prune279.0ms

Filtered
130 candidates to 101 candidates (77.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done022
Total1306136

Merged error: 0b

Counts
136 → 6

regimes125.0ms

Accuracy

6.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch20.0ms

Steps
ItersRangePoint
5
-8.135509283686208e-290
-3.5617559312985633e-290
-8.039530089581333e-290

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample486.0ms

Algorithm
intervals
Results
265.0ms8426×body80valid

Profiling

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