Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.9b
(/ 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:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- y (* z t))
43.0ms
(/ x (- y (* z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune155.0ms

Filtered
57 candidates to 44 candidates (77.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b
(/ (- 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)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (- x) (fma t z (- y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune182.0ms

Filtered
62 candidates to 48 candidates (77.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.1b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite28.0ms

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
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×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:
3.0ms
(- y (* z t))
5.0ms
(/ 1 (- y (* z t)))
17.0ms
(* x (/ 1 (- y (* z t))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
54.0ms
(/ 1 (- y (* z t)))
39.0ms
(* x (/ 1 (- y (* z t))))

simplify84.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0289533
11133461
24086427
35001424

prune231.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (- 1) (/ (fma t z (- y)) x))
2.9b
(/ (fma t z (- y)) x)

rewrite22.0ms

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:
9.0ms
(/ (- 1) (/ (fma t z (- y)) x))
2.0ms
(/ (fma t z (- y)) x)

series128.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- 1) (/ (fma t z (- y)) x))
65.0ms
(/ (fma t z (- y)) x)

simplify94.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07132194
132641978
250021727

prune325.0ms

Filtered
207 candidates to 93 candidates (44.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.9b

regimes208.0ms

Accuracy

0% (0.2b remaining)

Error of 3.0b against oracle of 2.8b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample407.0ms

Algorithm
intervals
Results
193.0ms8386×body80valid