Details

Time bar (total: 4.0s)

sample37.0ms

Algorithm
intervals
Results
10.0ms287×body80valid
9.0ms330×body80nan

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0265
1575
21215
32415
43645
54905
66415
710235
817975
921555
1021615
1121615

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.1b
(* y (+ (- 1.0 z) (log z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
7×associate-*r*
6×pow1 add-sqr-sqrt
4×add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out
3×associate-*l*
2×expm1-log1p-u associate-*r/ log-pow log1p-expm1-u distribute-lft-out-- add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef unswap-sqr
Counts
2 → 38
Calls
2 calls:
1.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
79.0ms
(* y (+ (- 1.0 z) (log z)))

simplify33.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0245264
11012224
25001223

prune103.0ms

Filtered
44 candidates to 30 candidates (68.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New38644
Fresh000
Picked101
Done000
Total39645

Merged error: 0.0b

Counts
45 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.0b
(* y (- 1.0 z))
0.1b
(+ (* y (- 1.0 z)) (* y (log z)))
0.3b
(* y (log z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
36×add-cube-cbrt prod-diff
28×distribute-rgt-in distribute-lft-in
22×associate-+l+
12×log-prod
9×pow1 associate-*r*
8×add-exp-log add-cbrt-cube
6×associate-+r+ associate-*l* add-log-exp
4×expm1-log1p-u sub-neg log1p-expm1-u
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- fma-def flip3-+ sum-log log-pow flip-- flip-+ fma-udef distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 126
Calls
4 calls:
1.0ms
(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms
(* y (- 1.0 z))
9.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series241.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
39.0ms
(* y (- 1.0 z))
97.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
39.0ms
(* y (log z))

simplify64.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0494914
12048666
25003654

prune284.0ms

Filtered
138 candidates to 90 candidates (65.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1362138
Fresh235
Picked011
Done000
Total1386144

Merged error: 0.0b

Counts
144 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
12×cbrt-prod log-prod
9×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
7.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series622.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
97.0ms
(* y (log (cbrt z)))
184.0ms
(cbrt z)
191.0ms
(cbrt z)

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0271531
11150472
25001441

prune305.0ms

Filtered
96 candidates to 79 candidates (82.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh134
Picked101
Done011
Total975102

Merged error: 0.0b

Counts
102 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.4b
(* (* y 1/3) (log z))
0.4b
(* y 1/3)
0.6b
(cbrt z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×pow1 *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt
10×associate-*r*
9×associate-*l*
6×log-prod
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
2×associate-*l/ unswap-sqr
1×flip3-- pow1/3 log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
7.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms
(* (* y 1/3) (log z))
3.0ms
(* y 1/3)
1.0ms
(cbrt z)

series406.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
51.0ms
(* (* y 1/3) (log z))
14.0ms
(* y 1/3)
187.0ms
(cbrt z)

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0360484
11731417
25001401

prune278.0ms

Filtered
96 candidates to 71 candidates (74.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done011
Total965101

Merged error: 0.0b

Counts
101 → 5

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample1000.0ms

Algorithm
intervals
Results
332.0ms9194×body80valid
281.0ms9342×body80nan

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