Details

Time bar (total: 4.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms264×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize12.0ms

Local error

Found 3 expressions with local error:

2.4b
(/ (* y b) t)
4.2b
(/ (* y z) t)
11.8b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
26×times-frac
21×distribute-lft-out
18×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-/r/
3×pow1 frac-2neg flip3-+ clear-num flip-+ div-inv add-log-exp
2×frac-add prod-exp cbrt-unprod associate-/l/
Counts
3 → 89
Calls
3 calls:
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
37.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
94.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0432769
11895710
25001710

prune259.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
2.4b
(/ (* y b) t)
3.5b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.8b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
0.0ms
(cbrt t)
3.0ms
(/ (* y b) t)
24.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
28.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
19.0ms
(/ (* y b) t)
48.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
268.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07351561
137081358
250011310

prune464.0ms

Filtered
144 candidates to 101 candidates (70.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
2.4b
(/ (* y b) t)
4.2b
(/ (* y z) t)
11.6b
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
38×times-frac
35×add-sqr-sqrt
28×add-cube-cbrt
27×add-exp-log
23×associate-*r*
22×distribute-lft-out
21×add-cbrt-cube
11×associate-/r*
8×div-exp associate-/r/
7×pow1
6×cbrt-undiv flip3-+ prod-exp flip-+
5×associate-/l*
4×associate-*l* frac-add cbrt-unprod div-inv add-log-exp
3×frac-2neg clear-num unswap-sqr
2×frac-times rec-exp 1-exp associate-*l/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 136
Calls
4 calls:
24.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
66.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
19.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
98.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify66.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05751089
12852965
25001923

prune338.0ms

Filtered
148 candidates to 84 candidates (56.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t))))
2.5b
(* (* y b) (/ 1 t))
4.2b
(/ (* y z) t)
11.6b
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t)))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
36×add-sqr-sqrt
32×*-un-lft-identity times-frac associate-*r*
29×add-cube-cbrt
28×add-cbrt-cube
17×prod-exp
12×pow1 associate-/r/
10×div-exp
9×cbrt-unprod
8×flip3-+ frac-add flip-+
6×cbrt-undiv associate-*r/ associate-/r* un-div-inv
5×associate-*l*
4×rec-exp 1-exp pow-prod-down div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×pow-flip distribute-lft-out inv-pow
Counts
4 → 143
Calls
4 calls:
21.0ms
(/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t))))
10.0ms
(* (* y b) (/ 1 t))
3.0ms
(/ (* y z) t)
56.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t)))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t))))
19.0ms
(* (* y b) (/ 1 t))
17.0ms
(/ (* y z) t)
97.0ms
(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (* (* y b) (/ 1 t)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07241255
137401075
250021030

prune367.0ms

Filtered
155 candidates to 93 candidates (60.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.0b

regimes357.0ms

Accuracy

21.8% (4.7b remaining)

Error of 14.9b against oracle of 10.2b and baseline of 16.2b

bsearch69.0ms

Steps
ItersRangePoint
10
16734031997.024418
7.110444029528232e+20
12155024933432426.0

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04423
14423

end0.0ms

sample637.0ms

Algorithm
intervals
Results
356.0ms8248×body80valid