Details

Time bar (total: 30.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms318×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: 3.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite230.0ms

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:
9.0ms
(/ t (- 1.0 z))
145.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series87.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify171.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0161718912
1500115159

prune889.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.6b
(/ 1 (/ (- 1.0 z) t))
3.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite634.0ms

Algorithm
rewrite-expression-head
Rules
3919×times-frac
2696×add-sqr-sqrt
2672×*-un-lft-identity
2161×add-cube-cbrt
1612×prod-diff
808×distribute-rgt-in distribute-lft-in
260×difference-of-squares
253×distribute-lft-out--
235×div-inv
27×associate-/r/
22×associate-/r*
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
6×pow1
4×cbrt-undiv
3×expm1-log1p-u associate-*r/ associate-*l* log1p-expm1-u add-log-exp
2×sub-neg rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 1794
Calls
3 calls:
8.0ms
(/ (- 1.0 z) t)
12.0ms
(/ 1 (/ (- 1.0 z) t))
337.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series109.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- 1.0 z) t)
27.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify602.0ms

Algorithm
egg-herbie
Counts
1803 → 1803
Iterations

Useful iterations: 1 (73.0ms)

IterNodesCost
0424772823
1500161167

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.0b
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
33×times-frac
28×add-cube-cbrt
26×prod-diff
15×distribute-rgt-in distribute-lft-in
6×add-exp-log add-cbrt-cube
5×associate-/r* distribute-lft-out--
4×pow1 associate-*r/ associate-*r* difference-of-squares
3×associate-*l* div-inv associate-/l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- 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 → 93
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
29.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- 1.0 z))
50.0ms
(* x (- (/ y z) (* 1 (/ t (- 1.0 z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0450954
11830855
25001816

prune212.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(/ 1 (/ (- 1.0 z) t))
1.1b
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
2.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
11440×times-frac
7799×add-sqr-sqrt
7773×*-un-lft-identity
6334×add-cube-cbrt
4836×prod-diff
4040×distribute-rgt-in distribute-lft-in
724×difference-of-squares
717×distribute-lft-out--
690×div-inv
79×associate-/r/
29×add-exp-log
19×pow1 associate-/r*
17×associate-*r*
16×add-cbrt-cube
9×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×cbrt-prod div-exp associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp flip3-- 1-exp *-commutative frac-sub flip-- unswap-sqr
1×pow-flip frac-2neg pow1/3 clear-num inv-pow
Counts
4 → 5030
Calls
4 calls:
0.0ms
(cbrt x)
9.0ms
(/ 1 (/ (- 1.0 z) t))
341.0ms
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
590.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

series431.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
26.0ms
(/ 1 (/ (- 1.0 z) t))
155.0ms
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
71.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

simplify2.0s

Algorithm
egg-herbie
Counts
5042 → 5042
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05613254840

prune21.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes242.0ms

Accuracy

26.5% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 4.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03219
13619
23619

end0.0ms

sample563.0ms

Algorithm
intervals
Results
306.0ms10203×body80valid