Details

Time bar (total: 4.5s)

sample35.0ms

Algorithm
intervals
Results
22.0ms329×body80valid

simplify19.0ms

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: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite222.0ms

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:
6.0ms
(/ t (- 1.0 z))
153.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ t (- 1.0 z))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify173.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0161718912
1500115159

prune893.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
4.4b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite63.0ms

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:
6.0ms
(/ 1 (- 1.0 z))
17.0ms
(* t (/ 1 (- 1.0 z)))
34.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (- 1.0 z))
35.0ms
(* t (/ 1 (- 1.0 z)))
52.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05901204
125661049
25001972

prune293.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

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)))
4.4b
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

rewrite17.0ms

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))
5.0ms
(/ 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))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
33.0ms
(/ t (- 1.0 z))
49.0ms
(fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1)))
56.0ms
(* x (fma y (/ 1 z) (- (* (/ t (- 1.0 z)) 1))))

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0310779
11210702
25001695

prune413.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
0.1b
(fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1)))
4.4b
(* x (fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×distribute-lft-out-- difference-of-squares
6×associate-*l*
5×prod-exp associate-/r*
4×expm1-log1p-u div-exp associate-/r/ log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-unprod fma-udef associate-/l*
2×cbrt-undiv rec-exp flip3-- 1-exp pow-prod-down *-commutative flip-- div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 121
Calls
4 calls:
9.0ms
(/ 1 (- 1.0 z))
17.0ms
(* t (/ 1 (- 1.0 z)))
0.0ms
(fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1)))
3.0ms
(* x (fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (- 1.0 z))
34.0ms
(* t (/ 1 (- 1.0 z)))
51.0ms
(fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1)))
54.0ms
(* x (fma y (/ 1 z) (- (* (* t (/ 1 (- 1.0 z))) 1))))

simplify59.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0457841
12016713
25002655

prune366.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

83.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.3b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07193
18893
29093
39093

end0.0ms

sample879.0ms

Algorithm
intervals
Results
611.0ms10154×body80valid