Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify104.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
6.9b
(/ (* y (- z x)) t)

rewrite48.0ms

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:
9.0ms
(+ x (/ (* y (- z x)) t))
22.0ms
(* y (- z x))
15.0ms
(/ (* y (- z x)) t)

series130.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* y (- z x)) t))
40.0ms
(* y (- z x))
50.0ms
(/ (* y (- z x)) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune130.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
0.0b
(* y (- z x))
7.1b
(* (* y (- z x)) (/ 1 t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
6.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
22.0ms
(* y (- z x))
37.0ms
(* (* y (- z x)) (/ 1 t))

series131.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
41.0ms
(* y (- z x))
51.0ms
(* (* y (- z x)) (/ 1 t))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0417472
12153394
25002380

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.5b
(/ 1 (/ t (* y (- z x))))
6.9b
(/ t (* y (- z x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
23.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
19.0ms
(* y (- z x))
21.0ms
(/ 1 (/ t (* y (- z x))))
14.0ms
(/ t (* y (- z x)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
38.0ms
(* y (- z x))
58.0ms
(/ 1 (/ t (* y (- z x))))
42.0ms
(/ t (* y (- z x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0447816
12087669
25002652

prune432.0ms

Pruning

5 alts after pruning (4 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))))
0.5b
(/ 1 (/ (/ t y) (- z x)))
5.4b
(/ (/ t y) (- z x))

rewrite171.0ms

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:
87.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
32.0ms
(/ 1 (/ (/ t y) (- z x)))
17.0ms
(/ (/ t y) (- z x))

series141.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
61.0ms
(/ 1 (/ (/ t y) (- z x)))
41.0ms
(/ (/ t y) (- z x))

simplify70.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014204509
150023663

prune605.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch54.0ms

Steps
ItersRangePoint
8
4.204763048209384e-173
1.9768890383181146e-169
2.2491320713091613e-171
7
-2.600157470066103e-290
-4.077449333417644e-292
-1.0464048023057493e-290

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample617.0ms

Algorithm
intervals
Results
254.0ms10682×body80valid