Details

Time bar (total: 5.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms265×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.9b
(/ (- (* y z) x) (- (* t z) x))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
9.0ms
(- (* t z) x)
38.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
131.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
34.0ms
(/ (- (* y z) x) (- (* t z) x))

series256.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* t z) x)
77.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
109.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
49.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03971011
11388948
25001947

prune536.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.2b
(/ 1 (- (* t z) x))
0.5b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
10.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp flip-- distribute-lft-out
3×cbrt-undiv flip3-+ associate-*l* flip-+ div-inv unswap-sqr
2×frac-times rec-exp frac-2neg 1-exp associate-*l/ clear-num cbrt-unprod associate-/l/
1×+-commutative pow-flip associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 121
Calls
4 calls:
7.0ms
(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
17.0ms
(/ 1 (- (* t z) x))
48.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
63.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
22.0ms
(/ 1 (- (* t z) x))
110.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
50.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04691203
121141077
250021046

prune814.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (- (* y z) x) (- (* t z) x)) x)
0.1b
(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
0.6b
(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
10.9b
(/ (- (* y z) x) (- (* t z) x))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
167×*-un-lft-identity
155×times-frac
81×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
29×associate-/r*
19×add-exp-log
13×associate-/r/ add-cbrt-cube
10×associate-/l*
9×div-exp
7×flip3-+ flip-+ div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-- 1-exp div-sub flip--
1×+-commutative associate-+l- pow-flip sum-log inv-pow
Counts
4 → 197
Calls
4 calls:
81.0ms
(+ (/ (- (* y z) x) (- (* t z) x)) x)
117.0ms
(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
118.0ms
(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
33.0ms
(/ (- (* y z) x) (- (* t z) x))

series347.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (/ (- (* y z) x) (- (* t z) x)) x)
112.0ms
(/ 1 (/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x)))
111.0ms
(/ (+ x 1.0) (+ (/ (- (* y z) x) (- (* t z) x)) x))
55.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06212775
128612570
250012454

prune831.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y t))
2.0b
(/ (+ x (/ y t)) (+ x 1.0))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ flip-+
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
13.0ms
(+ x (/ y t))
42.0ms
(/ (+ x (/ y t)) (+ x 1.0))

series47.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (/ y t))
33.0ms
(/ (+ x (/ y t)) (+ x 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0227373
1693348
22231348
35002348

prune161.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.4b

regimes209.0ms

Accuracy

61% (2.6b remaining)

Error of 3.5b against oracle of 0.9b and baseline of 7.6b

bsearch86.0ms

Steps
ItersRangePoint
5
1.5212019411328955e+65
3.973865470352098e+65
2.2176908673220093e+65
7
-1.4056912876576555e+100
-7.202415307476349e+97
-1.2250014864707344e+100

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03714
13914
23914

end0.0ms

sample587.0ms

Algorithm
intervals
Results
368.0ms8335×body80valid