Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- y (* z t))
50.0ms
(/ x (- y (* z t)))

simplify74.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 1 expressions with local error:

3.4b
(/ (- x) (fma t z (- y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
4.0ms
(/ (- x) (fma t z (- y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (- x) (fma t z (- y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune198.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (- 1) (/ (fma t z (- y)) x))
3.4b
(/ (fma t z (- y)) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
129×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×distribute-lft-neg-in distribute-rgt-neg-in
16×associate-/r*
14×neg-mul-1
13×div-inv associate-/l*
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/
Counts
2 → 201
Calls
2 calls:
13.0ms
(/ (- 1) (/ (fma t z (- y)) x))
3.0ms
(/ (fma t z (- y)) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- 1) (/ (fma t z (- y)) x))
71.0ms
(/ (fma t z (- y)) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07132194
132641978
250021727

prune370.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (- 1) (* (fma t z (- y)) (/ 1 x)))
3.5b
(* (fma t z (- y)) (/ 1 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
23×add-sqr-sqrt
21×times-frac
17×*-un-lft-identity
16×add-cube-cbrt add-cbrt-cube
13×associate-*r*
10×associate-/l*
9×div-exp
8×prod-exp
6×distribute-lft-neg-in distribute-rgt-neg-in
5×cbrt-undiv
4×pow1 cbrt-unprod
3×associate-*l* unswap-sqr
2×expm1-log1p-u neg-mul-1 rec-exp 1-exp associate-*r/ associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
1×neg-sub0 frac-2neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ (- 1) (* (fma t z (- y)) (/ 1 x)))
8.0ms
(* (fma t z (- y)) (/ 1 x))

series144.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- 1) (* (fma t z (- y)) (/ 1 x)))
78.0ms
(* (fma t z (- y)) (/ 1 x))

simplify60.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0341568
11779458
25001411

prune205.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.3b

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1104

end0.0ms

sample436.0ms

Algorithm
intervals
Results
217.0ms8380×body80valid