Details

Time bar (total: 10.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms261×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(+ (- t z) 1.0)
0.0b
(/ (+ (- t z) 1.0) a)
10.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
245×*-un-lft-identity
203×times-frac
137×add-sqr-sqrt
88×add-cube-cbrt
46×distribute-lft-out
44×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-/l*
8×div-inv
4×pow1 cbrt-undiv div-exp associate-/l/
3×div-sub
2×associate-+l- sub-neg associate-+l+ flip3-- frac-2neg flip3-+ diff-log clear-num sum-log flip-- flip-+
1×+-commutative associate-/r/ associate--r-
Counts
4 → 209
Calls
4 calls:
51.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
11.0ms
(+ (- t z) 1.0)
15.0ms
(/ (+ (- t z) 1.0) a)
26.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series259.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
14.0ms
(+ (- t z) 1.0)
34.0ms
(/ (+ (- t z) 1.0) a)
126.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify72.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
07432019
126941950
250011949

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- t z) 1.0)
0.0b
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.9b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
1079×times-frac
935×*-un-lft-identity
571×add-sqr-sqrt
394×add-cube-cbrt
154×distribute-lft-out distribute-lft-out--
83×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
28×add-exp-log
18×associate-/r* add-cbrt-cube
17×div-exp
16×flip3-+ flip-+
11×add-log-exp
9×cbrt-undiv
5×div-sub
4×pow1
3×associate-/l/
2×sub-neg rec-exp associate-+l+ flip3-- frac-2neg diff-log 1-exp clear-num sum-log flip--
1×+-commutative associate-+l- associate--r-
Counts
4 → 562
Calls
4 calls:
7.0ms
(+ (- t z) 1.0)
109.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
11.0ms
(/ (- y z) (+ (- t z) 1.0))
30.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series279.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (- t z) 1.0)
87.0ms
(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
49.0ms
(/ (- y z) (+ (- t z) 1.0))
128.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify111.0ms

Algorithm
egg-herbie
Counts
574 → 574
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
019467774
150017240

prune938.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
0.0b
(/ (+ (- t z) 1.0) (- y z))
0.4b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.9b
(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

rewrite614.0ms

Algorithm
rewrite-expression-head
Rules
4778×times-frac
3360×*-un-lft-identity
2231×add-sqr-sqrt
1695×add-cube-cbrt
473×distribute-lft-out--
472×distribute-lft-out
252×difference-of-squares
162×div-inv
110×associate-/r/
106×associate-/l*
100×add-exp-log
78×div-exp
49×associate-/r*
48×flip3-- flip--
32×add-cbrt-cube
19×cbrt-undiv
17×rec-exp 1-exp
6×add-log-exp
5×pow1
3×frac-2neg clear-num associate-/l/
1×associate-+l- sub-neg pow-flip flip3-+ diff-log div-sub flip-+ inv-pow
Counts
4 → 1660
Calls
4 calls:
312.0ms
(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
17.0ms
(/ (+ (- t z) 1.0) (- y z))
15.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
58.0ms
(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

series391.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
63.0ms
(/ (+ (- t z) 1.0) (- y z))
95.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
119.0ms
(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

simplify294.0ms

Algorithm
egg-herbie
Counts
1672 → 1672
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500128248

prune3.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
2.3b
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
460×*-un-lft-identity
346×add-sqr-sqrt
287×cbrt-prod
265×associate-*r*
206×add-cube-cbrt
82×distribute-lft-out--
73×add-exp-log
60×distribute-lft-out
52×difference-of-squares
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-div unswap-sqr
9×associate-/r/
7×div-inv
6×pow1 flip3-+ flip-+
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
124.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt a)
187.0ms
(cbrt a)
187.0ms
(cbrt a)
168.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify106.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
018907511
150027157

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample580.0ms

Algorithm
intervals
Results
328.0ms8476×body80valid
0.0ms1×body1280valid