Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.1b
(/ (* y (- z x)) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in 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 → 61
Calls
3 calls:
8.0ms
(+ x (/ (* y (- z x)) t))
10.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ (* y (- z x)) t))
38.0ms
(* y (- z x))
47.0ms
(/ (* y (- z x)) t)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0290325
11223280
25001280

prune141.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (+ (* y z) (* y (- x))) t))
0.7b
(+ (* y z) (* y (- x)))
5.1b
(/ (+ (* y z) (* y (- x))) t)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
6×distribute-rgt-neg-out distribute-lft-out
5×add-exp-log add-cbrt-cube
4×div-sub associate-/l*
3×pow1 flip3-+ unsub-neg associate-/r* flip-+
2×+-commutative associate-+r- sum-log associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 63
Calls
3 calls:
11.0ms
(+ x (/ (+ (* y z) (* y (- x))) t))
3.0ms
(+ (* y z) (* y (- x)))
9.0ms
(/ (+ (* y z) (* y (- x))) t)

series124.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (/ (+ (* y z) (* y (- x))) t))
33.0ms
(+ (* y z) (* y (- x)))
55.0ms
(/ (+ (* y z) (* y (- x))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0281536
11062465
25001438

prune177.0ms

Filtered
72 candidates to 54 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b
(/ 1 (/ (/ t y) (- z x)))
10.6b
(/ (/ t y) (- z x))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
88.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
23.0ms
(/ 1 (/ (/ t y) (- z x)))
10.0ms
(/ (/ t y) (- z x))

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
51.0ms
(/ 1 (/ (/ t y) (- z x)))
44.0ms
(/ (/ t y) (- z x))

simplify70.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014124509
150013663

prune694.0ms

Filtered
434 candidates to 204 candidates (47.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
10.1b
(* (/ y t) (- z x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
19.0ms
(* (/ y t) (- z x))

series94.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* (/ y t) (- z x)))
54.0ms
(* (/ y t) (- z x))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune135.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

6.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch84.0ms

Steps
ItersRangePoint
10
1.311224957533603e-253
3.4866321987486726e-242
7.141078437777153e-250
9
-2.3235783853481308e-61
-1.6825515477307194e-67
-1.83004683428361e-67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample565.0ms

Algorithm
intervals
Results
294.0ms10717×body80valid