Details

Time bar (total: 5.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms339×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.2b
(/ (* y (- z x)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
10.0ms
(* y (- z x))
6.0ms
(/ (* y (- z x)) t)

series120.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (* y (- z x)) t))
34.0ms
(* y (- z x))
50.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
6.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
38.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series640.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
181.0ms
(cbrt t)
180.0ms
(cbrt t)
93.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
2.4b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
85×add-exp-log
77×cbrt-prod
63×*-un-lft-identity
51×add-cube-cbrt
50×associate-*l*
41×add-cbrt-cube
36×prod-exp cbrt-unprod
35×associate-*r*
26×cbrt-undiv div-exp
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 189
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
48.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
45.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
179.0ms
(cbrt y)
242.0ms
(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
59.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

simplify101.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08922272
140331912
250021780

prune770.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (/ (- z x) (cbrt t))) (cbrt t)))
2.6b
(* (cbrt y) (/ (- z x) (cbrt t)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
63×add-exp-log
48×times-frac
44×associate-*r*
43×*-un-lft-identity
36×cbrt-prod
31×add-cube-cbrt
26×add-cbrt-cube
24×prod-exp cbrt-unprod
21×cbrt-undiv div-exp
16×associate-*l*
9×unswap-sqr
8×pow1
6×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
38.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (/ (- z x) (cbrt t))) (cbrt t)))
22.0ms
(* (cbrt y) (/ (- z x) (cbrt t)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
174.0ms
(cbrt y)
56.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (/ (- z x) (cbrt t))) (cbrt t)))
130.0ms
(* (cbrt y) (/ (- z x) (cbrt t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06871569
132691298
250021221

prune456.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

46.1% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.5b

bsearch72.0ms

Steps
ItersRangePoint
10
6.188795828064911e-41
6.501449646497004e-31
5.768030074722701e-36
6
-8.188348982612838e+68
-5.971989321507669e+67
-6.131672250468987e+67

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723

end0.0ms

sample581.0ms

Algorithm
intervals
Results
296.0ms10646×body80valid