Details

Time bar (total: 5.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify17.0ms

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: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
791×times-frac
720×add-sqr-sqrt
717×*-un-lft-identity
546×prod-diff
542×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
86×distribute-lft-out-- difference-of-squares
69×div-inv
54×associate-/r/
28×flip3-- flip--
10×associate-*r*
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
2 → 619
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
142.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ t (- 1.0 z))
54.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify174.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0161718912
1500115159

prune909.0ms

Pruning

11 alts after pruning (11 fresh and 0 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))
0.1b
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.3b
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
42×*-un-lft-identity
30×times-frac
26×add-cube-cbrt
10×add-exp-log associate-/r* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 110
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
8.0ms
(/ t (- 1.0 z))
0.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
3.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ t (- 1.0 z))
34.0ms
(/ t (- 1.0 z))
52.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
53.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

simplify52.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0310779
11210702
25001695

prune423.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
3.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×fma-udef
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
5.0ms
(* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
21.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
180.0ms
(cbrt x)
195.0ms
(* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
85.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0341888
11459690
25002619

prune328.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
6.3b
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
6.3b
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
6.3b
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod 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 → 55
Calls
4 calls:
3.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
1.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
1.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
1.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

series807.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))
244.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
256.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))
249.0ms
(cbrt (* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0215701
1765594
23657580
35002572

prune306.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

19.2% (3.7b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 4.6b

bsearch79.0ms

Steps
ItersRangePoint
8
3.754585379720712e-65
3.7682752778021148e-62
1.097248677353552e-62
4
-6.099290371362107e-246
-3.3171402118071894e-246
-4.517026257162916e-246

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04822
15922
25922

end0.0ms

sample561.0ms

Algorithm
intervals
Results
307.0ms10110×body80valid