Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms275×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 2.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
8.8b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite69.0ms

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:
30.0ms
(/ (+ (- t z) 1.0) a)
28.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series157.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ (- t z) 1.0) a)
126.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06291758
124231698
250031697

prune350.0ms

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))
0.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite75.0ms

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:
21.0ms
(/ (- y z) (+ (- t z) 1.0))
49.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series167.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (+ (- t z) 1.0))
120.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377755
11255699
25002697

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
19.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))

series557.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
145.0ms
(cbrt (- y z))
143.0ms
(cbrt (- y z))
143.0ms
(cbrt (- y z))

simplify158.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
8.7b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 83
Calls
2 calls:
16.0ms
(/ a (+ (- t z) 1.0))
47.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ a (+ (- t z) 1.0))
68.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342553
11536501
25001500

prune186.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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

sample539.0ms

Algorithm
intervals
Results
287.0ms8471×body80valid