Details

Time bar (total: 5.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms260×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.2b
(/ (* y z) t)
4.7b
(/ (* y b) t)
12.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
5.0ms
(+ x (/ (* y z) t))
4.0ms
(/ (* y z) t)
4.0ms
(/ (* y b) t)
41.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ x (/ (* y z) t))
19.0ms
(/ (* y z) t)
20.0ms
(/ (* y b) t)
116.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0472881
12005817
25001797

prune387.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ t (* y b)))
4.2b
(/ (* y z) t)
4.7b
(/ t (* y b))
12.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
67×times-frac
38×distribute-lft-out
37×add-exp-log add-sqr-sqrt add-cube-cbrt
25×add-cbrt-cube
18×associate-/r* div-inv
17×div-exp
11×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 163
Calls
4 calls:
7.0ms
(/ 1 (/ t (* y b)))
4.0ms
(/ (* y z) t)
3.0ms
(/ t (* y b))
59.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (/ t (* y b)))
19.0ms
(/ (* y z) t)
27.0ms
(/ t (* y b))
114.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06111300
128561134
250011105

prune425.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 12.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ t (* y z)))
4.4b
(/ t (* y z))
4.7b
(/ (* y b) t)
12.4b
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
64×times-frac
37×add-exp-log
36×add-sqr-sqrt add-cube-cbrt
30×distribute-lft-out
25×add-cbrt-cube
17×div-exp
16×associate-/r*
14×div-inv
12×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
7.0ms
(/ 1 (/ t (* y z)))
3.0ms
(/ t (* y z))
4.0ms
(/ (* y b) t)
62.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ t (* y z)))
26.0ms
(/ t (* y z))
21.0ms
(/ (* y b) t)
145.0ms
(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06001269
127531130
250011067

prune406.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 12.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
2.3b
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
4.2b
(/ (* y z) t)
12.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
390×times-frac
205×*-un-lft-identity
168×add-sqr-sqrt add-cube-cbrt
75×cbrt-prod
34×div-inv
32×add-exp-log
30×associate-/r*
25×add-cbrt-cube
21×distribute-lft-out
16×cbrt-undiv div-exp
12×associate-/l*
5×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ associate-/l/
2×frac-add
1×pow1/3
Counts
4 → 294
Calls
4 calls:
1.0ms
(cbrt t)
15.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
4.0ms
(/ (* y z) t)
149.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt t)
53.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
26.0ms
(/ (* y z) t)
150.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

simplify75.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
014834116
150013764

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.6b

regimes393.0ms

Accuracy

53% (3.2b remaining)

Error of 13.0b against oracle of 9.8b and baseline of 16.6b

bsearch56.0ms

Steps
ItersRangePoint
6
8.387957451131944e+98
5.935761658426629e+99
8.508552178145803e+98
1
-1.0956005585287143e-15
-9.97186842010697e-16
-1.07099712939921e-15

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04622
14622

end0.0ms

sample677.0ms

Algorithm
intervals
Results
387.0ms8271×body80valid