Details

Time bar (total: 5.6s)

sample32.0ms

Algorithm
intervals
Results
21.0ms267×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.9b
(/ (- (* y z) x) (- (* t z) x))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
25×times-frac
21×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
7×add-exp-log associate-/r* add-cbrt-cube associate-/l*
5×add-log-exp
4×div-sub associate-/r/ associate-/l/
3×pow1 flip3-+ flip-+
2×cbrt-undiv associate-+r- flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×+-commutative sum-log
Counts
3 → 86
Calls
3 calls:
18.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
51.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms
(/ (- (* y z) x) (- (* t z) x))

series241.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
114.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
50.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0381952
11350894
25002894

prune243.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
0.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.2b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.9b
(/ (- (* t z) x) (- (* y z) x))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
97×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
18×distribute-lft-out
13×associate-/r/ add-cbrt-cube div-inv
11×associate-/l*
9×div-exp
6×flip3-- flip-- add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg flip3-+ clear-num flip-+
2×rec-exp 1-exp
1×+-commutative pow-flip div-sub sum-log inv-pow
Counts
4 → 174
Calls
4 calls:
28.0ms
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
86.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
10.0ms
(/ (- (* t z) x) (- (* y z) x))

series373.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
142.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
81.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
54.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify72.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06332103
129001864
250011852

prune375.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
0.2b
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
3.2b
(/ x (- (* y z) x))
11.0b
(/ (* t z) (- (* y z) x))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
63×times-frac
59×add-sqr-sqrt
39×add-cube-cbrt
26×associate-/r/
19×associate-/r*
17×add-exp-log div-inv
16×distribute-lft-out
15×add-cbrt-cube
12×distribute-rgt-out-- associate-/l*
11×flip3-- flip--
8×difference-of-squares
6×div-exp
5×pow1 cbrt-undiv
4×frac-2neg clear-num distribute-lft-out-- add-log-exp
2×flip3-+ flip-+ associate-/l/
1×rec-exp pow-flip 1-exp prod-exp frac-sub cbrt-unprod inv-pow sub-div
Counts
4 → 156
Calls
4 calls:
253.0ms
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
50.0ms
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
5.0ms
(/ x (- (* y z) x))
6.0ms
(/ (* t z) (- (* y z) x))

series316.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
83.0ms
(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
50.0ms
(/ x (- (* y z) x))
35.0ms
(/ (* t z) (- (* y z) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05842004
125661870
250021828

prune379.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
0.1b
(/ 1 (- (* y z) x))
0.6b
(/ 1 (- (* t z) x))
11.5b
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
547×times-frac
274×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
71×associate-/r/
54×add-exp-log
37×div-exp
36×div-inv
34×flip3-- flip--
25×associate-/r* associate-/l*
22×add-cbrt-cube
11×cbrt-undiv
10×rec-exp 1-exp distribute-lft-out
6×pow1
4×frac-2neg clear-num add-log-exp
3×associate-/l/
2×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 393
Calls
4 calls:
228.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
6.0ms
(/ 1 (- (* y z) x))
6.0ms
(/ 1 (- (* t z) x))
24.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
27.0ms
(/ 1 (- (* y z) x))
23.0ms
(/ 1 (- (* t z) x))
84.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016985909
150015384

prune990.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes174.0ms

Accuracy

59.7% (2.8b remaining)

Error of 3.6b against oracle of 0.8b and baseline of 7.7b

bsearch115.0ms

Steps
ItersRangePoint
10
9.257574151948207e+113
1.2666292397819132e+127
8.895648835107018e+120
9
-4.421135035044612e+140
-4.036851611946301e+132
-4.4707659967563265e+138

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03514
13514

end0.0ms

sample903.0ms

Algorithm
intervals
Results
670.0ms8328×body80valid