Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify79.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.7b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.6b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite34.0ms

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:
9.0ms
(/ (+ (- t z) 1.0) a)
14.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series159.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ (- t z) 1.0) a)
127.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify76.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06291758
124231698
250031697

prune316.0ms

Filtered
181 candidates to 103 candidates (56.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1783181
Fresh000
Picked011
Done000
Total1784182

Merged error: 0b

Counts
182 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite34.0ms

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:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
18.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series198.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- y z) (+ (- t z) 1.0))
124.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0377755
11255699
25002697

prune165.0ms

Filtered
108 candidates to 64 candidates (59.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done011
Total1084112

Merged error: 0b

Counts
112 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (- t z) 1.0))
0.4b
(cbrt (+ (- t z) 1.0))
0.4b
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
4.6b
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
1053×times-frac
724×*-un-lft-identity
408×add-sqr-sqrt
364×cbrt-div
342×add-cube-cbrt
316×cbrt-prod
233×associate-/r/
182×flip3-+ flip-+
128×distribute-lft-out
120×frac-times
93×distribute-lft-out--
60×associate-*r/ associate-*l/
48×div-inv
29×difference-of-squares
28×associate-/r*
27×add-exp-log
18×add-cbrt-cube
17×associate-/l*
14×swap-sqr
13×cbrt-undiv div-exp
11×pow1
8×pow1/3 associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×prod-exp cbrt-unprod
2×div-sub pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num *-commutative associate-/l/
Counts
4 → 636
Calls
4 calls:
6.0ms
(cbrt (+ (- t z) 1.0))
6.0ms
(cbrt (+ (- t z) 1.0))
17.0ms
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
42.0ms
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

series415.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (+ (- t z) 1.0))
100.0ms
(cbrt (+ (- t z) 1.0))
93.0ms
(* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))
124.0ms
(/ (/ (- y z) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (+ (- t z) 1.0)) a))

simplify187.0ms

Algorithm
egg-herbie
Counts
648 → 648
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0268416455
1500116329

prune1.6s

Filtered
648 candidates to 392 candidates (60.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6480648
Fresh011
Picked011
Done022
Total6484652

Merged error: 0b

Counts
652 → 4

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)))

rewrite27.0ms

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:
8.0ms
(/ a (+ (- t z) 1.0))
16.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ a (+ (- t z) 1.0))
72.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0342553
11536501
25001500

prune148.0ms

Filtered
89 candidates to 59 candidates (66.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done033
Total89493

Merged error: 0b

Counts
93 → 4

regimes162.0ms

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
0146
1146

end0.0ms

sample562.0ms

Algorithm
intervals
Results
315.0ms8419×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid