Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify69.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
8.6b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
65.0ms
(/ (+ (- t z) 1.0) a)
51.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series165.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ (- t z) 1.0) a)
131.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06291758
124231698
250031697

prune329.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
44.0ms
(/ (- y z) (+ (- t z) 1.0))
107.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series175.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (+ (- t z) 1.0))
125.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0377755
11255699
25002697

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (+ (- t z) 1.0) (/ 1 a))
8.6b
(/ (- y z) (* (+ (- t z) 1.0) (/ 1 a)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
23×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac add-cbrt-cube
13×associate-*r*
12×add-cube-cbrt
9×div-exp
8×prod-exp
6×associate-/r/
5×cbrt-undiv associate-*l* associate-/l*
4×pow1 frac-times flip3-+ associate-*l/ cbrt-unprod flip-+
3×distribute-lft-out-- unswap-sqr
2×rec-exp 1-exp associate-*r/ un-div-inv div-inv associate-/l/ distribute-lft-out add-log-exp difference-of-squares
1×flip3-- frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative flip--
Counts
2 → 80
Calls
2 calls:
90.0ms
(* (+ (- t z) 1.0) (/ 1 a))
38.0ms
(/ (- y z) (* (+ (- t z) 1.0) (/ 1 a)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (+ (- t z) 1.0) (/ 1 a))
129.0ms
(/ (- y z) (* (+ (- t z) 1.0) (/ 1 a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0467608
12115505
25002487

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.5b
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
8.5b
(/ (/ (+ (- t z) 1.0) a) (- y z))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
1183×times-frac
1051×*-un-lft-identity
641×add-sqr-sqrt
449×add-cube-cbrt
178×distribute-lft-out--
164×distribute-lft-out
109×associate-/r*
96×difference-of-squares
33×div-inv
31×add-exp-log
27×associate-/l*
19×div-exp add-cbrt-cube
11×associate-/r/
10×cbrt-undiv
5×flip3-- flip--
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
2×associate-+l-
1×pow-flip flip3-+ flip-+ inv-pow
Counts
3 → 607
Calls
3 calls:
64.0ms
(/ (+ (- t z) 1.0) a)
66.0ms
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
78.0ms
(/ (/ (+ (- t z) 1.0) a) (- y z))

series274.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (+ (- t z) 1.0) a)
134.0ms
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
105.0ms
(/ (/ (+ (- t z) 1.0) a) (- y z))

simplify92.0ms

Algorithm
egg-herbie
Counts
616 → 616
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014797847
150027132

prune957.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample600.0ms

Algorithm
intervals
Results
269.0ms8495×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid