Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
11.0ms341×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y t) (- z x) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (/ y t) (- z x) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune30.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh011
Picked011
Done000
Total11415

Merged error: 0.0b

Counts
15 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y t) (- z x) x))
1.8b
(fma (/ y t) (- z x) x)
1.8b
(fma (/ y t) (- z x) x)
1.8b
(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) (- z x) x))
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series263.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (fma (/ y t) (- z x) x))
31.0ms
(fma (/ y t) (- z x) x)
27.0ms
(fma (/ y t) (- z x) x)
27.0ms
(fma (/ y t) (- z x) x)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0116320
1284290
21044260
35001255

prune145.0ms

Filtered
55 candidates to 44 candidates (80.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54155
Fresh022
Picked011
Done011
Total54559

Merged error: 0.0b

Counts
59 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series116.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma (/ y t) (- z x) x)
28.0ms
(fma (/ y t) (- z x) x)
33.0ms
(fma (/ y t) (- z x) x)
28.0ms
(fma (/ y t) (- z x) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
040276
193248
2270212
31300212
45001212

prune164.0ms

Filtered
52 candidates to 40 candidates (76.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh022
Picked011
Done022
Total52557

Merged error: 0.0b

Counts
57 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(* y (- z x))
8.0ms
(/ (* y (- z x)) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ (* y (- z x)) t))
35.0ms
(* y (- z x))
52.0ms
(/ (* y (- z x)) t)

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0377600
11715428
25003420

prune137.0ms

Filtered
97 candidates to 56 candidates (57.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New94397
Fresh101
Picked011
Done033
Total957102

Merged error: 0b

Counts
102 → 7

regimes162.0ms

Accuracy

39% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02115
12115

end0.0ms

sample622.0ms

Algorithm
intervals
Results
343.0ms10671×body80valid

Profiling

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