Details

Time bar (total: 10.1s)

sample125.0ms

Algorithm
intervals
Results
88.0ms617×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
4.3b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.0b
(* b (- (* c z) (* i a)))
6.2b
(* x (- (* y z) (* t a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
3.0ms
(- (* c z) (* i a))
0.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
9.0ms
(* b (- (* c z) (* i a)))
10.0ms
(* x (- (* y z) (* t a)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c z) (* i a))
539.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
64.0ms
(* b (- (* c z) (* i a)))
65.0ms
(* x (- (* y z) (* t a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0373645
11485568
25001568

prune420.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize26.0ms

Local error

Found 4 expressions with local error:

6.2b
(* x (- (* y z) (* t a)))
6.3b
(cbrt (- (* c z) (* i a)))
6.3b
(cbrt (- (* c z) (* i a)))
6.3b
(cbrt (- (* c z) (* i a)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg associate-*r/ prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
9.0ms
(* x (- (* y z) (* t a)))
2.0ms
(cbrt (- (* c z) (* i a)))
2.0ms
(cbrt (- (* c z) (* i a)))
2.0ms
(cbrt (- (* c z) (* i a)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* x (- (* y z) (* t a)))
111.0ms
(cbrt (- (* c z) (* i a)))
114.0ms
(cbrt (- (* c z) (* i a)))
118.0ms
(cbrt (- (* c z) (* i a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0339646
11165598
24162580
35001580

prune489.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.7b

localize28.0ms

Local error

Found 4 expressions with local error:

6.3b
(cbrt (- (* c z) (* i a)))
6.3b
(cbrt (- (* c z) (* i a)))
6.3b
(cbrt (- (* c z) (* i a)))
6.3b
(cbrt (- (* c z) (* i a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- (* c z) (* i a)))
4.0ms
(cbrt (- (* c z) (* i a)))
2.0ms
(cbrt (- (* c z) (* i a)))
2.0ms
(cbrt (- (* c z) (* i a)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- (* c z) (* i a)))
112.0ms
(cbrt (- (* c z) (* i a)))
110.0ms
(cbrt (- (* c z) (* i a)))
108.0ms
(cbrt (- (* c z) (* i a)))

simplify111.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (100.0ms)

IterNodesCost
0190616
1539580
21641556
33874552
45002540

prune552.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.7b

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (cbrt x) (- (* y z) (* t a)))
3.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.3b
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
5.0b
(* b (- (* c z) (* i a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sub-neg associate-*r/ prod-diff
7×associate-*r*
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×fma-udef
Counts
4 → 108
Calls
4 calls:
13.0ms
(* (cbrt x) (- (* y z) (* t a)))
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
0.0ms
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
10.0ms
(* b (- (* c z) (* i a)))

series1.1s

Counts
4 → 12
Calls
4 calls:
285.0ms
(* (cbrt x) (- (* y z) (* t a)))
115.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
673.0ms
(fma (- (* c t) (* i y)) j (- (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))) (* b (- (* c z) (* i a)))))
65.0ms
(* b (- (* c z) (* i a)))

simplify73.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05541206
12443956
25001877

prune454.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 5.7b

regimes828.0ms

Accuracy

2.2% (7.1b remaining)

Error of 12.3b against oracle of 5.2b and baseline of 12.4b

bsearch230.0ms

Steps
ItersRangePoint
10
1.3052177360121891e-200
6.571673569596265e-191
3.53550443557556e-198
5
-1.3253154686313252e-175
-5.60083851644097e-176
-5.6638058677896054e-176

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06265
16265

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.7s19044×body80valid