Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 5.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite111.0ms

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))
42.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series87.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- 1.0 z))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify168.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0161718912
1500115159

prune862.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
4.9b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
54×*-un-lft-identity
50×times-frac
39×add-cube-cbrt
26×prod-diff
24×associate-*r*
18×add-exp-log
15×distribute-rgt-in distribute-lft-in
12×add-cbrt-cube
8×pow1
7×distribute-lft-out-- difference-of-squares
6×associate-*r/ associate-*l*
5×prod-exp associate-/r*
4×div-exp associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sub-neg rec-exp 1-exp pow-prod-down un-div-inv *-commutative frac-sub
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 143
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(* t (/ 1 (- 1.0 z)))
9.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series104.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ 1 (- 1.0 z))
37.0ms
(* t (/ 1 (- 1.0 z)))
44.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05901204
125661049
25001972

prune268.0ms

Pruning

10 alts after pruning (9 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))
0.2b
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.9b
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

rewrite18.0ms

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:
6.0ms
(/ t (- 1.0 z))
5.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
4.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
38.0ms
(/ t (- 1.0 z))
45.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
55.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

simplify40.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310779
11210702
25001695

prune414.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(/ t (- 1.0 z))
2.5b
(* x (/ t (- 1.0 z)))
4.8b
(/ (* x y) z)

rewrite30.0ms

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))
10.0ms
(* x (/ t (- 1.0 z)))
4.0ms
(/ (* x y) z)

series142.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ t (- 1.0 z))
32.0ms
(/ t (- 1.0 z))
54.0ms
(* x (/ t (- 1.0 z)))
19.0ms
(/ (* x y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0455771
12227710
25001710

prune424.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

70.4% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 5.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
17244
27244

end0.0ms

sample565.0ms

Algorithm
intervals
Results
306.0ms10089×body80valid