Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms267×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.2b
(/ x (- y (* z t)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
fma-neg prod-diff associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(- y (* z t))
9.0ms
(/ x (- y (* z t)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- y (* z t))
38.0ms
(/ x (- y (* z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune121.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
2.2b
(* x (/ 1 (- y (* z t))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
add-log-exp
div-exp prod-exp associate-/r/
expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
6.0ms
(- y (* z t))
9.0ms
(/ 1 (- y (* z t)))
26.0ms
(* x (/ 1 (- y (* z t))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
49.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- 1) (fma t z (- y)))
2.2b
(* x (/ (- 1) (fma t z (- y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
51×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
34×associate-*r*
21×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
add-exp-log add-cbrt-cube
neg-mul-1
pow1
associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u distribute-frac-neg div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
neg-sub0 frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 115
Calls
2 calls:
10.0ms
(/ (- 1) (fma t z (- y)))
21.0ms
(* x (/ (- 1) (fma t z (- y))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- 1) (fma t z (- y)))
38.0ms
(* x (/ (- 1) (fma t z (- y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0329848
11677775
25001653

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.5b
(/ 1 (/ (- y (* z t)) x))
2.0b
(/ (- y (* z t)) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
expm1-log1p-u fma-neg prod-diff log1p-expm1-u
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 130
Calls
3 calls:
8.0ms
(- y (* z t))
13.0ms
(/ 1 (/ (- y (* z t)) x))
14.0ms
(/ (- y (* z t)) x)

series178.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
104.0ms
(/ 1 (/ (- y (* z t)) x))
44.0ms
(/ (- y (* z t)) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0434991
11842881
25001802

prune218.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.1b

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample486.0ms

Algorithm
intervals
Results
189.0ms8401×body80valid