Details

Time bar (total: 2.4s)

sample34.0ms

Algorithm
intervals
Results
10.0ms343×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.5b
(* t (* y (- x z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- x z))
7.0ms
(* t (* y (- x z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- x z))
10.0ms
(* t (* y (- x z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune121.0ms

Filtered
60 candidates to 32 candidates (46.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh101
Picked011
Done000
Total55762

Merged error: 0.0b

Counts
62 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (* t y) (- x z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* t y) (- x z))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(* (* t y) (- x z))

simplify96.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune63.0ms

Filtered
29 candidates to 15 candidates (48.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New26329
Fresh145
Picked101
Done011
Total28836

Merged error: 0.0b

Counts
36 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* t y) x) (* (* t y) (neg z)))
3.4b
(* (* t y) x)
3.4b
(* (* t y) (neg z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log associate-*r* add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×associate-*l* *-commutative
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
4.0ms
(+ (* (* t y) x) (* (* t y) (neg z)))
4.0ms
(* (* t y) x)
6.0ms
(* (* t y) (neg z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* (* t y) x) (* (* t y) (neg z)))
6.0ms
(* (* t y) x)
6.0ms
(* (* t y) (neg z))

simplify63.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0291299
11708249
25001243

prune179.0ms

Filtered
67 candidates to 47 candidates (29.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh066
Picked011
Done011
Total67875

Merged error: 0.0b

Counts
75 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
2.8b
(* (cbrt t) (* y (- x z)))
4.0b
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
7.0ms
(* (cbrt t) (* y (- x z)))
13.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
63.0ms
(* (cbrt t) (* y (- x z)))
20.0ms
(* (* (cbrt t) (cbrt t)) (* (cbrt t) (* y (- x z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0421887
11403643
25002521

prune215.0ms

Filtered
111 candidates to 56 candidates (49.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh145
Picked101
Done022
Total1118119

Merged error: 0.0b

Counts
119 → 8

regimes339.0ms

Accuracy

59% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 6.7b

bsearch99.0ms

Steps
ItersRangePoint
8
1.0631770881486207e-42
1.2897896164540773e-39
3.301759110537189e-41
10
-4.3270734325047456e+32
-7.4366347455361555e+22
-4.327005033993306e+25

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0299
1339
2409
3409

end0.0ms

sample764.0ms

Algorithm
intervals
Results
309.0ms10828×body80valid

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