Details

Time bar (total: 6.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms309×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: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.4b
(* 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:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
9.0ms
(/ t (- 1.0 z))
145.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
40.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify247.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0166127825
1500122260

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
5.4b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
16.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
17.0ms
(* t (/ 1 (- 1.0 z)))
30.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
39.0ms
(* t (/ 1 (- 1.0 z)))
48.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06261632
126971397
250011294

prune417.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.4b
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
3.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
193.0ms
(cbrt z)
185.0ms
(cbrt z)
187.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (* (/ t (- 1.0 z)) 1))))

simplify101.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0167495
1660427
23568401
35002382

prune306.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
2.1b
(* x (/ t (- 1.0 z)))
5.7b
(/ (* x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×*-un-lft-identity
49×times-frac
36×add-cube-cbrt
21×associate-*r*
18×add-exp-log add-cbrt-cube
13×associate-/r*
11×distribute-lft-out-- difference-of-squares
7×associate-/l*
6×pow1 associate-/r/
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×flip3-- frac-2neg associate-*l* prod-exp clear-num flip-- cbrt-unprod
2×unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 143
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(/ t (- 1.0 z))
21.0ms
(* x (/ t (- 1.0 z)))
3.0ms
(/ (* x y) z)

series151.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ t (- 1.0 z))
34.0ms
(/ t (- 1.0 z))
57.0ms
(* x (/ t (- 1.0 z)))
20.0ms
(/ (* x y) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0455771
12227710
25001710

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

-23.1% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 4.3b

bsearch36.0ms

Steps
ItersRangePoint
6
-2.8325616313388226e+65
-3.397514703991226e+64
-1.8914130703629391e+65

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04028
14428
24428

end0.0ms

sample732.0ms

Algorithm
intervals
Results
485.0ms10085×body80valid