Details

Time bar (total: 5.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms264×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.6b
(/ (* y b) t)
5.8b
(/ (* y z) t)
10.4b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite99.0ms

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:
9.0ms
(+ x (/ (* y z) t))
9.0ms
(/ (* y b) t)
9.0ms
(/ (* y z) t)
68.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ x (/ (* y z) t))
20.0ms
(/ (* y b) t)
21.0ms
(/ (* y z) t)
108.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0472881
12005817
25001797

prune332.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ t z)))
4.2b
(/ y (/ t z))
4.6b
(/ (* y b) t)
10.4b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
98×times-frac
60×add-sqr-sqrt add-cube-cbrt
22×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp add-log-exp
5×associate-/r/
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
4 → 161
Calls
4 calls:
21.0ms
(+ x (/ y (/ t z)))
9.0ms
(/ y (/ t z))
9.0ms
(/ (* y b) t)
101.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ x (/ y (/ t z)))
20.0ms
(/ y (/ t z))
20.0ms
(/ (* y b) t)
241.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06781246
127811149
250021138

prune477.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ t z)))
4.2b
(/ y (/ t z))
5.4b
(/ y (/ t b))
10.4b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
170×times-frac
139×*-un-lft-identity
100×add-sqr-sqrt add-cube-cbrt
31×associate-/r*
22×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×div-inv
10×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
3×fma-def frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative sum-log
Counts
4 → 210
Calls
4 calls:
22.0ms
(+ x (/ y (/ t z)))
8.0ms
(/ y (/ t z))
9.0ms
(/ y (/ t b))
127.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

series319.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ x (/ y (/ t z)))
21.0ms
(/ y (/ t z))
22.0ms
(/ y (/ t b))
241.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

simplify83.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08321613
133591500
250021487

prune618.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ t z))
4.4b
(* y (/ 1 (/ t z)))
5.4b
(/ y (/ t b))
10.4b
(/ (+ x (* y (/ 1 (/ t z)))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
156×*-un-lft-identity
148×add-sqr-sqrt
134×add-cube-cbrt
44×associate-*r*
41×add-exp-log
31×associate-/r*
25×add-cbrt-cube
18×div-exp
15×div-inv
12×distribute-lft-out
10×cbrt-undiv
9×associate-/l*
7×pow1 prod-exp associate-/r/
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg flip3-+ associate-*l* clear-num cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 268
Calls
4 calls:
9.0ms
(/ 1 (/ t z))
28.0ms
(* y (/ 1 (/ t z)))
10.0ms
(/ y (/ t b))
84.0ms
(/ (+ x (* y (/ 1 (/ t z)))) (+ (+ a 1.0) (/ y (/ t b))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (/ t z))
21.0ms
(* y (/ 1 (/ t z)))
22.0ms
(/ y (/ t b))
242.0ms
(/ (+ x (* y (/ 1 (/ t z)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify100.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
010511934
148031723
250011720

prune754.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.0b

regimes306.0ms

Accuracy

39.7% (3.9b remaining)

Error of 13.1b against oracle of 9.2b and baseline of 15.7b

bsearch118.0ms

Steps
ItersRangePoint
9
9.146886702502519e-155
5.901860397589332e-149
5.680955193031466e-149
9
-1.1939950611604269e-111
-1.566819529792693e-118
-7.065454724711101e-112

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05035
15035

end0.0ms

sample701.0ms

Algorithm
intervals
Results
331.0ms8295×body80valid