Details

Time bar (total: 7.4s)

sample40.0ms

Algorithm
intervals
Results
25.0ms262×body80valid

simplify16.0ms

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: 19.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.4b
(/ (* y b) t)
5.8b
(/ (* y z) t)
13.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
26×times-frac
25×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 expm1-log1p-u fma-def frac-add associate-/r/ log1p-expm1-u
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 118
Calls
4 calls:
18.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
38.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (+ a 1.0) (/ (* y b) t))
22.0ms
(/ (* y b) t)
20.0ms
(/ (* y z) t)
114.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0488947
12162873
25003850

prune444.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.4b
(/ y (/ t z))
4.4b
(/ (* y b) t)
13.9b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
98×times-frac
60×add-sqr-sqrt add-cube-cbrt
25×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
9×add-log-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp
5×flip3-+ associate-/r/ flip-+
4×pow1 expm1-log1p-u fma-def frac-add log1p-expm1-u
3×frac-2neg clear-num sum-log
2×associate-/l/
1×+-commutative associate-+l+ prod-exp cbrt-unprod
Counts
4 → 167
Calls
4 calls:
20.0ms
(+ (+ a 1.0) (/ (* y b) t))
5.0ms
(/ y (/ t z))
3.0ms
(/ (* y b) t)
76.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (+ a 1.0) (/ (* y b) t))
21.0ms
(/ y (/ t z))
28.0ms
(/ (* y b) t)
271.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06931312
129371214
250021195

prune631.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.4b
(/ y (/ t z))
13.9b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
87×add-sqr-sqrt
79×*-un-lft-identity
71×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/r*
14×cbrt-prod
11×cbrt-undiv div-exp
9×associate-/r/
8×prod-exp cbrt-unprod div-inv
7×associate-*l* associate-/l*
6×pow1 frac-add unswap-sqr
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt t)
27.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms
(/ y (/ t z))
73.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series607.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt t)
62.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
21.0ms
(/ y (/ t z))
323.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify135.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010051986
148401738
250011738

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.4b
(/ y (/ t z))
13.7b
(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
93×add-sqr-sqrt
73×*-un-lft-identity
70×add-cube-cbrt
43×associate-*r*
39×add-exp-log
28×add-cbrt-cube
14×cbrt-prod
13×associate-/r*
12×div-exp prod-exp
11×cbrt-undiv associate-*l*
10×cbrt-unprod
9×associate-/r/ unswap-sqr
8×pow1 div-inv
6×flip3-+ frac-add flip-+
5×frac-times associate-*l/
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×associate-/l*
2×pow-prod-down *-commutative
1×rec-exp frac-2neg pow1/3 1-exp clear-num un-div-inv distribute-lft-out
Counts
4 → 197
Calls
4 calls:
1.0ms
(cbrt t)
24.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms
(/ y (/ t z))
112.0ms
(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt t)
51.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
23.0ms
(/ y (/ t z))
308.0ms
(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
011472010
150011732

prune883.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.3b

regimes469.0ms

Accuracy

37.4% (3.3b remaining)

Error of 13.8b against oracle of 10.5b and baseline of 15.8b

bsearch121.0ms

Steps
ItersRangePoint
8
29.935257973417514
13595.26267709322
408.5298684835332
6
-4.2105108887466466e+145
-6.081594782601052e+144
-6.148366575407929e+144

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04217
14217

end0.0ms

sample1.1s

Algorithm
intervals
Results
805.0ms8257×body80valid