Details

Time bar (total: 6.9s)

sample31.0ms

Algorithm
intervals
Results
19.0ms324×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
35.0ms
(- (/ y z) (/ t (- 1.0 z)))
154.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- 1.0 z))
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify243.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.7b
(* x (- (/ t (- 1.0 z))))
6.8b
(* x (/ y z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 156
Calls
4 calls:
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
36.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series185.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
34.0ms
(/ t (- 1.0 z))
63.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify88.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0697901
13283837
25001834

prune456.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.7b
(* x (- (/ t (- 1.0 z))))
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/r/ log1p-expm1-u div-inv add-log-exp
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
33.0ms
(* x (- (/ t (- 1.0 z))))
27.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
182.0ms
(cbrt z)
63.0ms
(* x (- (/ t (- 1.0 z))))
55.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07611075
13996916
25003872

prune524.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.7b
(* x (- (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))
6.8b
(* x (/ y z))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
95×associate-*r*
83×add-sqr-sqrt
76×*-un-lft-identity
52×add-cube-cbrt
39×distribute-lft-neg-in distribute-rgt-neg-in
36×cbrt-prod
12×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l*
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×pow1/3 associate-*r/ pow-prod-down associate-/r/ *-commutative
1×cbrt-undiv neg-mul-1 div-exp distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 161
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
66.0ms
(* x (- (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))
7.0ms
(* x (/ y z))

series481.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
187.0ms
(cbrt t)
82.0ms
(* x (- (/ (* (cbrt t) (cbrt t)) (/ (- 1.0 z) (cbrt t)))))
25.0ms
(* x (/ y z))

simplify102.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07351157
138541072
250011057

prune572.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes234.0ms

Accuracy

20.5% (3.6b remaining)

Error of 3.7b against oracle of 0.1b and baseline of 4.6b

bsearch110.0ms

Steps
ItersRangePoint
9
1.5252088610619315e-195
8.383872807835414e-189
2.8051310836370026e-193
7
-1.266816458046698e+42
-1.6902908213534253e+40
-1.0791968462179678e+42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04530
15130
25230
35230

end0.0ms

sample853.0ms

Algorithm
intervals
Results
596.0ms10112×body80valid